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CATCH Y TITLE : WH AT AM I D O ING IN TH IS PAPE R?
S TUD E NT NAME
J on a t h a n Va r h ola
S O C 2 0 0 0 -XX
D ATE O F S UBMIS S IO N
1
I. In t r od u ct ion
a . S ociologica l Im a gin a t ion
i. Cor r ela t ion b et ween p er s on a l exp er ien ces of d r u
g u s er s a n d
h ea lt h effect ou t com es p a r t ia lly s h a p ed b y s ociet
y
ii. Im p or t a n t t o u n d er s t a n d u n d er lyin g r ela t ion
s h ip s b et ween
a ll k ey a ct or s
b . Ps ych ot r op ic d r u gs ill effect s a r e a s ocia l p r ob
lem
i. S ociet y a t la r ge a ffect ed in clu d in g m a n y d iffer en
t a ge gr ou p s ,
b a ck gr ou n d s a n d h is t or ies of p eop le
ii. Q u a lit y of life d efla t ion a n d u n s a t is fa ct or y h ea
lt h effect
ou t com es ou t weigh b en efit s fr om t r ea t m en t s t h a
t r eq u ir e
p s ych ot r op ic d r u g u s e
iii. Med ica l in d u s t r y r egu la t ed a t a s ociet a l or m a
cr o level
c . Ps ych ot r op ic d r u g u s e effect s on h ea lt h
i. Q u a lit y of life
1 . G en er a l h ea lt h p r ob lem s (F leis ch h a ck er et a l.,
2 0 1 1 ).
ii. S id e effect s a ffect in g a ll a ges (Ch eu n g, Levit t & S
za la i, 2 0 0 3 ).
1 . Ad oles cen t s (G r ek in , O b er leit n er , Tzilos & Zu m
b er g,
2 0 1 1 ).
2 . E ld er ly (Alla et a l., 2 0 0 4 ).
iii. S u icid e a t t em p t s
1 . S u icid a l t h ou gh t s a n d a ct s (Cou gn a r d , G r
ollea u ,
Molim a r d , Tou r n ier & Ver d ou x, 2 0 0 9 ).
d . Th es is S t a t em en t
i. In t h is p a p er , I will b e s t u d yin g t h e im p a ct of p
s ych ot r op ic
d r u g u s e on u s er q u a lit y of life .
II. Lit er a t u r e Review
a . Poor h ea lt h b eh a vior (F leis ch h a ck er et a l., 2 0 1
1 )
i. WH O Q O L-BRE F r ed u ced q u a lit y of life in p s ych
ot r op ic d r u g
u s er s
ii. S m ok e ciga r et t es m or e com m on ly, r ed u ced p h ys
ica l a ct ivit y
a n d h igh er b od y m a s s in d ex; com p a r ed t o n on -u s
er s
b . D ep en d en cy (Alla et a l., 2 0 0 4 )
i. Non con s u m er s h a ve b es t q u a lit y of life
ii. O cca s ion a l con s u m er s lim it ed in s ociet a l r oles
a n d
exp er ien ce wor s e m en t a l h ea lt h
iii. Con t in u ou s con s u m er s h a ve wor s e s ocia l fu n ct
ion in g a b ilit y
a n d a r e d ep en d en t on d r u gs
c . S id e E ffect s (Ch eu n g et a l., 2 0 0 3 )
i. H ea lt h y a d oles cen t s con cer n ed wit h m ed ica l r ea
s on s of s id e
effect s
ii. Ad oles cen t s wit h d ep r es s ion con cer n ed wit h r es
u lt in g
fu n ct ion a l im p a ir m en t s of s id e effect s
d . College u s e (G r ek in et a l., 2 0 1 1 )
i. Ps ych ot r op ic d r u g m ixin g wit h a lcoh ol on college
ca m p u s es
ii. S t u d en t s m is u s in g d r u gs in q u a n t it y
2
iii. Low r a t e of s u icid a l b eh a vior q u es t ion in g b y p h
ys icia n s
e . In t en t ion a l d r u g over d os e
i. Pr es cr ib ed d r u gs u s ed in in t en t ion a l d r u g over
d os e
ii. S u b ject s in ges t in g n on p r es cr ib ed d r u gs in ID
O h a d ot h er
p r es cr ib ed p s ych ot r op ic d r u gs
iii. H yp n ot ic a n d r ela t ed d r u gs m os t fr eq u en t ly
in ges t ed
III. D a t a a n d Met h od s
a . S u r vey collect ion in Au s t r ia , (F leis ch h a ck er et a
l., 2 0 1 1 )
i. s a m p le s ize=n =8 7
ii. s m a ll s a m p le s ize m a k es q u a n t it a t ive gen er a
liza t ion s d ifficu lt
iii. wea k n es s of s u r vey m et h od : s elf-r ep or t ed d a t a
m a y b e
u n r elia b le
iv. G en er a l s a t is fa ct ion wit h life a n d well-b ein g d
ecr ea s ed
b . Non -p a r t icip a n t ob s er va t ion a l s t u d y in F r a n
ce (Alla et a l., 2 0 0 4 )
i. s a m p le s ize
ii. s a m p le s ize cr it iq u e
iii. k ey fin d in g(s )
c . Q -s or t m et h od ology u s ed in Ca n a d a (Ch eu n g et
a l., 2 0 0 3 )
i. s a m p le s ize
ii. s a m p le s ize cr it iq u e
iii. k ey fin d in g(s )
d . In t er views con d u ct ed in t h e US A (G r ek in et a
l., 2 0 1 1 )
i. s a m p le s ize
ii. s a m p le s ize cr it iq u e
iii. k ey fin d in g(s )
e . Q u a n t it a t ive r e s ea r ch a n d s t a t is t ica l a n a lys
is p er for m ed in F r a n ce
(Cou gn a r d et a l., 2 0 0 9 )
i. s a m p le s ize
ii. s a m p le s ize cr it iq u e
iii. k ey fin d in g(s )
IV. Th eor y
a . S ocia l Con flict Th eor y
i. Ph ys icia n s h a ve m or e k n owled ge of d r u gs t h a n d
o p a t ien t s
ii. Pa t ien t s m a y b elieve p h ys icia n s a r e p er for m in g
well in t h eir
d u t y b u t u n exp ect ed s id e effect s m a y t r u ly b e a s
ign of
n egligen ce
iii. Ph ys icia n s p ot en t ia lly exp loit in g p a t ien t s s im
p ly t o m a k e
m on ey
b . F u n ct ion a lis m
i. Ph ys icia n s a r e exp ect ed t o b e m ed ica l a u t h or it
ies
ii. Pa t ien t s a r e exp ect ed t o b e a b le t o r ely on p h ys
icia n s for
a ccu r a t e a n d fu n ct ion a l in for m a t ion a b ou t d r u
g u s e a n d
s a fet y
c . S ym b olic In t er a ct ion is m
i. F eelin gs a b ou t d r u gs a n d d r u g u s e va r y b et
ween cu lt u r es ,
s u b cu lt u r es a n d gr ou p s
3
ii. Le vels of k n owled ge r ega r d in g d r u gs a n d d r u g
u s e d ep en d on
p r eviou s in t er a ct ion s exp er ien ced b y a given a ct or
V. Con clu s ion
a . In t h is p a p er , I h a ve s t u d ied t h e im p a ct of p s
ych ot r op ic d r u g u s e
on u s er q u a lit y of life .
b . F u t u r e r es ea r ch on p s ych ot r op ic d r u g u s e , a
lon g wit h it s im p a ct
on u s er q u a lit y of life , is n eed ed , b a s ed on m y k ey
fin d in g t h a t
_______________.
c . F u t u r e r es ea r ch er s m a y con s id e r u s in g a
________ m et h od ologica l
a p p r oa ch , b eca u s e _____________.
d . In d ivid u a ls n eed b et t er ed u ca t ion on d r u gs b
efor e get t in g
p r es cr ib ed t h es e m ed ica t ion s , t h er efor e s ocia l a n
d / or lega l p olicy
s h ou ld b e ch a n ged in t h e followin g wa y:
______________.
4
Refer en ces
Alla , F ., Ba u m a n n , M., Bon n et a in , F ., Br ia n con , S .
(2 0 0 4 ). Q u a lit y of life a n d
a t t it u d es t owa r d s p s ych ot r op ics a n d d ep en d
en cy: con s u m er s vs . n on -
con s u m er s a ged 5 0 a n d over . J ou rn a l of Clin ica
l Ph a rm a cy & Th e ra p e u tics ,
2 9 (5 ), 4 0 5 -4 1 5 .
Ch eu n g, Am y H ., Levit t , An t h on y J ., S za la i, J oh n
P. (2 0 0 3 ). Im p a ct of
An t id ep r e s s a n t S id e E ffect s on Ad oles cen t Q
u a lit y of Life. Ca n a d ia n J ou rn a l
of Ps y ch ia try , 4 8 (1 1 ), 7 2 7 -7 3 3 .
Cou gn a r d , A., G r ollea u , A., Molim a r d , M., Tou r n ier ,
M., Ver d ou x, H . (2 0 0 9 ).
F a ct or s a s s ocia t ed wit h ch oice of p s ych ot r op ic
d r u gs u s ed for in t en t ion a l
d r u g over d os e. Eu rop e a n A rch iv e s of Ps y ch ia
try a n d Clin ica l Ne u ros cie n ce ,
2 5 9 (2 ), 8 6 -9 1 .
F leis ch h a ck er , Wolfga n g W., Kop p , Ma r t in , Ku m n
ig, Ma r t in ., Ru ed l, G er h a r d .,
Ru m p old , G er h a r d ., S t u r z, Kr is t in a . (2 0 1 1 ).
Poor h ea lt h b eh a viou r a n d
r e d u ced q u a lit y of life of Peop le t r ea t ed wit h p s
ych ot r op ic d r u gs . H u m a n
Ps y ch op h a rm a cology : Clin ica l & Ex p e rim e n ta l,
2 6 (2 ), 1 6 1 -1 6 7 .
G r ek in , E m ily R., O b e r leit n er , Lin d s a y M.S ., Tzilos
, G olfo K., Zu m b er g,
Ka t h r yn , M. (2 0 1 1 ). Ps ych ot r op ic D r u g Us e a
m on g College S t u d en t s :
Pa t t e r n s of Us e, Mis u s e, a n d Med ica l Mon it or
in g. J ou rn a l of A m e rica n
Colle ge H e a lth , 5 9 (7 ), 6 5 8 -6 6 1 .
Annotated bibliography
Student’s Name: Omar Allansari
Instructor: Dr.Jonathan Varhola
Date: February 13th, 2017
SUBSTANCE ABUSE IN ADOLESCENTS; AN ANNOTED
BIBLIOGRAPHY
Park, Alice, and Alice Park. "Teens and Drugs: Rite of Passage
or Recipe for Addiction?
The above publication in the TIME magazine contains data
regarding the ever increasing numbers in substance abuse in
teenagers. A study conducted in recent time’s shows that the
percentage of high school students who have in any way abused
a drug is more than 75%. These include illicit drugs, alcohol
and tobacco. In the article, the author insists that over 90% of
addiction cases was recorded for those who started using the
drugs before the recommended age of eighteen years; this
indicates that addiction later in one’s life is due to the early
abuse of drugs, in their adulthood. Hence this publication is
important to the topic since it lets us know how early substance
abuse can affect the later years of a person and it also shows the
drug abuse at a teen level hence more understanding. This
article informs a lot of readers that what they choose in their
teen years can affect their lives many years later.
O’Malley, P. M., Johnston, L. D., & G.Bachman, J. (1998).
Alcohol Use among Adolescents.
Alcohol Health & Research World, 85-93.
Three University of Michigan PhD holders made a presentation
on the factors which encourage adolescents to partake in alcohol
abuse and the related behavioural outcomes. They recorded that
male adolescents are more likely to report drinking than their
female counterparts although by a small margin although the
gender difference for one having to be drunk was higher.
Alcohol prevalence is also higher among teenagers. The authors
then came to a revelation that alcohol abuse had a close
affiliation to the use of other drugs. On further research, on why
adolescents drink, they found out that some use alcohol fun,
like enjoying a great moment with friends due to alcohol’s great
taste, its tension relieving ability and the ability to make you
high. A small number was recorded to use alcohol to help them
cope through hard situations.
White, W.L., Dennis, M. & Tims, F.M. (2002) Adolescent
treatment: its history and current
Renaissance. Counselor.
Authors of this article retrieved from Counselor Magazine are
worried that with the increase in adolescent drug abuse there
comes great problems. These include emergency room
admissions, drug-related deaths, arrests, treatment costs and
incarceration rates. The authors studied drug and substance
misuse and ways to treat it from the seventeen hundreds to the
this day and they found out the following; adult treatment
models became of little help or no use at all when used on
adolescents. However in the last decade there have been great
clinical advances under that department, hence a more
developmentally suitable system of treatment with hopeful
results came as a result. There is also a great anticipation of
more future advances in the medical field.
Report for Experiment 4
Newton’s Second Law
Name: Your name here
Lab partner: Your partner’s name here
TA: Your instructor’s name here
The date of the experiment here
Abstract
Acceleration is the coupling strength between the mass of a
system and the force acting on it. By
comparing the gravitational pull on a . One hanging mass of
variable weight is attached to either one
puck (Investigation 1) or two (Investigation 2) on a frictionless
air table. A spark timer gives a direct way
to measure velocity and time of the system, calculating
acceleration for three hanging weights. Plotting
acceleration vs. the reduced mass of the hanging weights gives a
value for gravity. Using one puck, the
data within uncertainty is equal to the standard value of gravity.
Using two pucks, the data was not equal
to gravity within error, as rotational and frictional forces were
not included in the linear model.
Introduction
This experiment will test Newton’s second law and how it
relates to different forces. The law can be
summarized by the equation, F = ma. It is the point of this
experiment to find an acceleration of an object
based on a given force and mass of that object. This will
effectively solve Newton’s second law in the
form a = F/m. In the first investigation we measured the
displacement of an air hockey puck as it was
pulled by three differing weights, using a spark timer. We
calculated the velocity of the puck and graphed
velocity vs. time for each weight combination, which gave the
acceleration of the puck. To verify
Newton’s second law we graphed the accelerations vs. the
reduced mass of the system and then compared
the slope of that graph to the known value of gravity, 9.81
m/s^2. The second investigation used two
pucks strapped together, thereby changing the reduced mass
ratio, but otherwise worked the same way as
Investigation 1 to calculate the known value of gravity.
Investigation 1
Setup & Procedure
The air table is set up with a pulley attached to a side. Two
pucks are connected to a High Voltage (HV)
source to create a circuit for the spark timer. Carbon paper is
laid on the table with white paper laying on
top of this carbon paper. The second puck is to the side but still
on the paper so as not to interfere with
the motion of the puck under observation. Weights of either 50,
100, or 200 grams is attached to the puck
by the pulley and string. When the HV is on, the weight is
dropped and the puck generates a spark every
30 ms. The spark will leave a black carbon dot from the carbon
paper on the white paper, which can be
measured for displacement. The spark timer is set to 30 Hz, so
the time between each dot is 0.0333 s.
Ten dots are counted and the displacement between them
measured. Using this data, the velocity is
calculated and used to graphically find the acceleration of the
system.
Data & Analysis
Table 1 – Displacement and time data from a single puck with
different weights
hanging down. (a) Data from the 50g hanging weight; (b) Data
from the 100g
hanging weight; (c) Data from the 200g hanging weight.
hanging weight 50 g
puck (g) 548
displacement # Δx (cm) Δt (s) t (s) δΔx (cm) v (cm/s) δv
(cm/s)
1 1.9 0.0333 0.033 0.3 28.528 4.504
2 2 0.0333 0.066 0.3 30.030 4.504
3 2.1 0.0333 0.1 0.3 31.531 4.504
4 2.2 0.0333 0.133 0.3 33.033 4.504
5 2.4 0.0333 0.166 0.3 36.036 4.504
6 2.5 0.0333 0.2 0.3 37.537 4.504
7 2.6 0.0333 0.233 0.3 39.039 4.504
8 2.8 0.0333 0.266 0.3 42.042 4.504
9 2.9 0.0333 0.3 0.3 43.543 4.504
hanging weight 100 g
puck (g) 548
displacement # Δx (cm) Δt (s) t (s) δΔx (cm) v (cm/s) δv
(cm/s)
1 2.3 0.0333 0.033 0.3 34.534 4.504
2 2.5 0.0333 0.066 0.3 37.537 4.504
3 2.8 0.0333 0.1 0.3 42.042 4.504
4 3.1 0.0333 0.133 0.3 46.546 4.504
5 3.5 0.0333 0.166 0.3 52.552 4.504
6 3.6 0.0333 0.2 0.3 54.054 4.504
7 3.8 0.0333 0.233 0.3 57.057 4.504
8 4.2 0.0333 0.266 0.3 63.063 4.504
9 4.5 0.0333 0.3 0.3 67.567 4.504
hanging weight 200 g
puck (g) 548
displacement # Δx (cm) Δt (s) t (s) δΔx (cm) v (cm/s) δv
(cm/s)
1 2.1 0.0333 0.033 0.3 31.531 4.504
2 2.7 0.0333 0.066 0.3 40.540 4.504
3 3.2 0.0333 0.1 0.3 48.048 4.504
4 3.5 0.0333 0.133 0.3 52.552 4.504
5 4 0.0333 0.166 0.3 60.060 4.504
6 4.4 0.0333 0.2 0.3 66.066 4.504
7 5 0.0333 0.233 0.3 75.075 4.504
8 5.6 0.0333 0.266 0.3 84.084 4.504
9 5.9 0.0333 0.3 0.3 88.588 4.504
On the paper, each trail of dots was labeled for the specific
weight used on the pulley. Our TA helped
pick a starting dot, and the dots were numbered 1-10. We
measured the displacement between two
consecutive dots and labeled it Δx. For example, for
displacement #1, we measured the distance between
dots 1 and 3. For displacement #2 we measured the distance
between dots 2 and 4, etc. The next column
in the data, Δt (s), is the time between each carbon dot. The
column after that is the total time elapsed
from the first dot. The uncertainty of the displacement was
determined by the difficulty to accurately
measure the middle of the dot, the size of the dot, and the fact
that the ruler could not touch the paper
directly. The relative uncertainty of the time measurement has
been pre-determined to be 0.1%. This is
effectively negligible in comparison to the uncertainty of the
physical measurements.
The velocity of the puck was calculated using the equation � =
Δ�/(2Δ�). The uncertainty to the
velocity was calculated in Eq. (1),
δv =
δ∆�
∆�
× v (1)
From this, we created a graph of velocity vs. time for each
weight, seen in Fig. (1). Error bars and an
equation of the trend line were added. We imputed the data into
the IPL error calculator and found an
uncertainty of the slope of 17.4 cm/s^2 for each graph.
Figure 1 – Acceleration from pucks using different weights. (a)
Puck acceleration from hanging 50g weight;
(b) Puck acceleration from hanging 100g weight; (c) Puck
acceleration from hanging 200g weight.
y = 57.808x + 26.068
0
10
20
30
40
50
60
0 0.05 0.1 0.15 0.2 0.25 0.3 0.35
V
e
lo
ci
ty
(
cm
/s
)
Time (s)
y = 123.12x + 30.03
0
10
20
30
40
50
60
70
80
0 0.05 0.1 0.15 0.2 0.25 0.3 0.35
V
e
lo
ci
ty
(
cm
/s
)
Time (s)
y = 213.21x + 25.192
0
10
20
30
40
50
60
70
80
90
100
0 0.05 0.1 0.15 0.2 0.25 0.3 0.35
V
e
lo
ci
ty
(
cm
/s
)
Time (s)
The slope of each graph is the acceleration of the puck.
Newton’s second law states that the sum of all
forces equals mass times acceleration. Since gravity acting on
the weight is the only force acting on the
puck (as long as friction is negligent), then Newton’s law can
be written as
��� = (�� + ��)�, (2)
where mp is the mass of the puck, mw is the mass of the
weight, a is the acceleration, and g is gravity. If
acceleration is graphed against mw/(mp+mw), then the slope of
the line will be equal to the acceleration of
gravity. This is done in Fig. (2).
Table 2 – Reduced mass and acceleration data.
Weight added (g)
Reduced mass
mw/(mp+mw) a (cm/s^2) δa (cm/s^2)
50 0.154 57.8 17.4
100 0.214 123.1 17.4
200 0.313 213.2 17.4
Figure 2 – Average gravitational acceleration of the three trials.
The slope of our graph is 971.64 cm/s^2. We used the IPL
calculator to get the uncertainty of our
calculated gravity, 153.36 cm/s^2. This means our value of
gravity 971.64 cm ±153.36 cm is equal to
9.81m/s^2, so Newton’s second law is verified.
Investigation 2
Setup & Procedure
We used the same set up as Investigation 1, but instead of one
puck we used both pucks Velcroed
together. All setup, procedures, equations, and graphs were the
same as before.
y = 971.64x - 89.683
0
50
100
150
200
250
0 0.05 0.1 0.15 0.2 0.25 0.3 0.35
A
cc
e
le
ra
ti
o
n
(
cm
/s
^
2
)
Reduced mass
Table 3 – Displacement and time data from two pucks with
different weights
hanging down. (a) Data from the 50g hanging weight; (b) Data
from the 100g
hanging weight; (c) Data from the 200g hanging weight.
hanging weight 50 g
puck (g) 1096
displacement # Δx (cm) Δt (s) t (s) δΔx (cm) v (cm/s) δv
(cm/s)
1 2 0.0333 0.033 0.3 30.030 4.504
2 2.1 0.0333 0.066 0.3 31.531 4.504
3 2.2 0.0333 0.1 0.3 33.033 4.504
4 2.3 0.0333 0.133 0.3 34.534 4.504
5 2.4 0.0333 0.166 0.3 36.036 4.504
6 2.5 0.0333 0.2 0.3 37.537 4.504
7 2.4 0.0333 0.233 0.3 36.036 4.504
8 2.5 0.0333 0.266 0.3 37.537 4.504
9 2.7 0.0333 0.3 0.3 40.540 4.504
hanging weight 100 g
puck (g) 1096
displacement # Δx (cm) Δt (s) t (s) δΔx (cm) v (cm/s) δv
(cm/s)
1 1.5 0.0333 0.033 0.3 22.522 4.504
2 1.7 0.0333 0.066 0.3 25.525 4.504
3 1.8 0.0333 0.1 0.3 27.027 4.504
4 2.1 0.0333 0.133 0.3 31.531 4.504
5 2.2 0.0333 0.166 0.3 33.033 4.504
6 2.4 0.0333 0.2 0.3 36.036 4.504
7 2.6 0.0333 0.233 0.3 39.039 4.504
8 2.6 0.0333 0.266 0.3 39.039 4.504
9 2.7 0.0333 0.3 0.3 40.540 4.504
hanging weight 200 g
puck (g) 1096
displacement # Δx (cm) Δt (s) t (s) δΔx (cm) v (cm/s) δv
(cm/s)
1 3.6 0.0333 0.033 0.3 54.054 4.504
2 3.7 0.0333 0.066 0.3 55.555 4.504
3 4 0.0333 0.1 0.3 60.060 4.504
4 4.2 0.0333 0.133 0.3 63.063 4.504
5 4.4 0.0333 0.166 0.3 66.066 4.504
6 4.7 0.0333 0.2 0.3 70.570 4.504
7 4.8 0.0333 0.233 0.3 72.072 4.504
8 5.1 0.0333 0.266 0.3 76.576 4.504
9 5.3 0.0333 0.3 0.3 79.579 4.504
We use the same equations for calculation of velocity and
uncertainty as Investigation 1. Velocity vs.
time was graphed for each of the three weights used, as seen in
Fig. (3).
Figure 3 – Acceleration from pucks using different weights. (a)
Puck acceleration from hanging 50g weight;
(b) Puck acceleration from hanging 100g weight; (c) Puck
acceleration from hanging 200g weight.
Since the uncertainty of velocity did not change at all, the
uncertainty for each slope is still 17.4 cm/s^2.
The acceleration of the pucks was again graphed against
mw/(mp+mw) and error bars and an equation of
the trend line were added.
y = 34.535x + 29.446
0
5
10
15
20
25
30
35
40
45
50
0 0.05 0.1 0.15 0.2 0.25 0.3 0.35
V
e
lo
ci
ty
(
cm
/s
)
Time (s)
y = 70.571x + 20.938
0
10
20
30
40
50
0 0.05 0.1 0.15 0.2 0.25 0.3 0.35
V
e
lo
ci
ty
(
cm
/s
)
Time (s)
y = 98.348x + 50.008
0
10
20
30
40
50
60
70
80
90
0 0.05 0.1 0.15 0.2 0.25 0.3 0.35
V
e
lo
ci
ty
(
cm
/s
)
Time (s)
Table 4 – Reduced mass and acceleration data for the double
puck configuration.
Weight added (g)
Reduced mass
mw/(mp+mw) a (cm/s^2) δa (cm/s^2)
50 0.084 34.5 17.4
100 0.120 70.6 17.4
200 0.186 98.3 17.4
Figure 4 – Average gravitational acceleration of the three trials
using two pucks.
Since uncertainties did not change, the uncertainty to Fig. (4) is
again 153.36 cm/s^2. Our graph shows
that our value for gravity of 601.37 ± 153.36 cm/s^2 is not
equal to 9.81 m/s^2. There are many reasons
why our value is not equal. It could be off because of the pucks
turned while they were pulled down the
table, which would change some of the linear force into
rotational force and thus reduce acceleration.
Also, the pucks weren’t secured very well with the string and
Velcro tied to it, so that one puck always
lurched forward instead of both pucks traveling together
smoothly. This would greatly affect the spacing
of the spark data points on the table. There may have also been
enough friction on the string against the
pulley to affect the acceleration of the system.
Conclusion
In our first investigation we measured gravity as 971.64 ±
153.36 cm/s^2, which is equal the given value
of 9.81m/s^2. But in our second investigation our gravity of
601.37 ± 153.36 cm/s^2 is not equal to 9.81
m/s^2. Extra forces that we didn’t account for, or rotational
effects, could have decreased the acceleration
of the pucks. Newton’s second law tells us no matter the
amount of weight our gravity should still equal
9.81m/s^2, but that was not the case in our second
investigation. A different method of tying and
Velcroing the two pucks together might alleviate the rotational
effects if the experiment was performed
over again.
y = 601.37x - 10.324
0
20
40
60
80
100
120
140
0 0.02 0.04 0.06 0.08 0.1 0.12 0.14 0.16 0.18 0.2
A
cc
e
le
ra
ti
o
n
(
cm
/s
^
2
)
Reduced mass
Questions
1. In each investigation, you measure mass and acceleration.
Which measurement has the greater
percent error? Don’t just say yes or no. Be quantitative in your
answer.
The answer to Question 1 goes here, including all relevant
calculations.
2. Assume that the spark timer error is 1%. Can it be neglected
compared to the error in x?
Explain!
The answer to Question 2 goes here, including all relevant
calculations.
3. What is the acceleration of the system if the hanging mass is
doubled and the puck’s mass is
doubled?
The answer to Question 3 goes here, including all relevant
calculations.
4. What is the acceleration if the hanging mass is doubled and
the puck’s mass is halved?
The answer to Question 4 goes here, including all relevant
calculations.
Acknowledgements
This experiment would not have been possible without the help
of my lab partner, Kevin. I’d also
like to thank my TA, Andrew Taylor, for the valuable help in
understanding how to calculate uncertainty
for both velocity and acceleration.
References
[1] H.Young and R.Freedman, University Physics, 13th edition,
Pearson Education.
[2] O.Batishchev and A.Hyde, Introductory Physics Laboratory,
pp 31-36, Hayden-McNeil, 2015.
Investigation 1Puck mass = 547.8 g49.6 g99.4g199.6gtΔxv
(cm/s)δΔtδvtΔxv2
(cm/s)tΔx101.10.00006660.000832501.100.6mh/(mh +
mp)a20.03331.133.0330330330.00006660.00083250.03331.234.
53453453450.03330.922.52252252250.083026447977.59530.06
661.234.53453453450.00006660.00083250.06661.439.03903903
90.06661.231.53153153150.1535846724144.4940.09991.337.53
753753750.00006660.00083250.09991.543.54354354350.09991.
540.54054054050.2670591383254.8850.13321.440.5405405405
0.00006660.00083250.13321.646.54654654650.13321.646.5465
46546560.16651.543.54354354350.00006660.00083250.16651.9
52.55255255260.1665254.054054054170.19981.646.546546546
50.00006660.00083250.19982.160.06006006010.19982.364.564
564564680.23311.648.0480480480.00006660.00083250.23312.2
64.56456456460.23312.673.573573573690.26641.749.54954954
950.00006660.00083250.26642.367.56756756760.26642.982.58
25825826100.29971.954.05405405410.00006660.00083250.299
72.572.07207207210.29973.291.5915915916110.333258.558558
55860.00006660.00083250.3332.778.07807807810.3333.5100.6
006006006120.3663260.06006006010.00006660.00083250.3663
2.882.58258258260.36633.7108.1081081081130.39962.161.561
56156160.00006660.00083250.3996387.08708708710.39964115
.6156156156140.43292.163.06306306310.00006660.00083250.4
3293.191.59159159160.43294.2123.1231231231150.46622.264.
56456456460.00006660.00083250.46623.396.09609609610.466
24.6132.1321321321k(slope)104.584δk0.0139663k
144.487δk0.0192303k 254.883δk0.0338378
V vs T
50
8.3250000000000012E-4 8.3250000000000012E-4
8.3250000000000012E-4 8.3250000000000012E-4
8.3250000000000012E-4 8.3250000000000012E-4
8.3250000000000012E-4 8.3250000000000012E-4
8.3250000000000012E-4 8.3250000000000012E-4
8.3250000000000012E-4 8.3250000000000012E-4
8.3250000000000012E-4 8.3250000000000012E-4
8.3250000000000012E-4 8.3250000000000012E-4
8.3250000000000012E-4 8.3250000000000012E-4
8.3250000000000012E-4 8.3250000000000012E-4
8.3250000000000012E-4 8.3250000000000012E-4
8.3250000000000012E-4 8.3250000000000012E-4
8.3250000000000012E-4 8.3250000000000012E-4
8.3250000000000012E-4 8.3250000000000012E-4
8.3250000000000012E-4 8.3250000000000012E-4
3.3300000000000003E-2 6.6600000000000006E-2
9.9900000000000003E-2 0.13320000000000001
0.16650000000000001 0.199 80000000000001
0.2331 0.26640000000000003 0.29970000000000002
0.33300000000000002 0.36630000000000001
0.39960000000000001 0.43290000000000001 0.4662
33.033033033033036 34.534534534534529
37.537537537537531 40.54054054054054
43.543543543543535 46.546546546546544
48.048048048048045 49.549549549549539
54.054054054054042 58.558558558558552
60.060060060060053 61.561561561561547
63.063063063063062 64.564564564564563 100
8.3250000000000012E-4 8.3250000000000012E-4
8.3250000000000012E-4 8.3250000000000012E-4
8.3250000000000012E-4 8.3250000000000012E-4
8.3250000000000012E-4 8.3250000000000012E-4
8.3250000000000012E-4 8.3250000000000012E-4
8.3250000000000012E-4 8.3250000000000012E-4
8.3250000000000012E-4 8.3250000000000012E-4
8.3250000000000012E-4 8.3250000000000012E-4
8.3250000000000012E-4 8.3250000000000012E-4
8.3250000000000012E -4 8.3250000000000012E-4
8.3250000000000012E-4 8.3250000000000012E-4
8.3250000000000012E-4 8.3250000000000012E-4
8.3250000000000012E-4 8.3250000000000012E-4
8.3250000000000012E-4 8.3250000000000012E-4
8.3250000000000012E-4 8.3250000000000012E-4
3.3300000000000003E-2 6.6600000000000006E-2
9.9900000000000003E-2 0.13320000000000001
0.16650000000000001 0.19980000000000001 0.2331
0.26640000000000003 0.29970000000000002
0.33300000000000002 0.36630000000000001
0.39960000000000001 0.43290000000000001 0.4662
34.534534534534529 39.039039039039032
43.543543543543535 46.546546546546544
52.552552552552548 60.060060060060053
64.564564564564563 67.567567567567565
72.072072072072061 78.078078078078079
82.582582582582575 87.08708708708707
91.59159159159158 96.09609609609609 200
8.3250000000000012E-4 8.3250000000000012E-4
8.3250000000000012E-4 8.3250000000000012E-4
8.3250000000000012E-4 8.3250000000000012E-4
8.3250000000000012E-4 8.3250000000000012E-4
8.3250000000000012E-4 8.3250000000000012E-4
8.3250000000000012E-4 8.3250000000000012E-4
8.3250000000000012E-4 8.3250000000000012E-4
8.3250000000000012E-4 8.3250000000000012E-4
8.3250000000000012E-4 8.3250000000000012E-4
8.3250000000000012E-4 8.3250000000000012E-4
8.3250000000000012E-4 8.3250000000000012E-4
8.3250000000000012E-4 8.3250000000000012E-4
8.3250000000000012E-4 8.3250000000000012E-4
8.3250000000000012E-4 8.3250000000000012E-4
8.3250000000000012E-4 8.3250000000000012E-4
3.3300000000000003E-2 6.6600000000000006E-2
9.9900000000000003E-2 0.13320000000000001
0.16650000000000001 0.19980000000000001 0.2331
0.26640000000000003 0.29970000000000002
0.33300000000000002 0.36630000000000001
0.39960000000000001 0.43290000000000001 0.4662
22.522522522522522 31.531531531531531
40.54054054054054 46.546546546546544
54.054054054054049 64.564564564564549
73.573573573573569 82.582582582582575
91.59159159159158 100.6006006006006
108.1081081081081 115.61561561561561
123.12312312312309 132.13213213213214
1.3966299999999999E-2 1.9230299999999999E-2
3.3837800000000001E-2 1.3966299999999999E-2
1.9230299999999999E-2 3.3837800000000001E-2
8.302644794107801E-2 0.1535846724351051
0.26705913834626704 77.594999999999999 144.49
254.88
Investigation 2Puck1 mass = 547.8 gPuck 2 mass =543.8
g49.5g99.5g199.5gδvtΔxv1 (cm/s)tΔxv 2(cm/s)tΔxv
3(cm/s)0.0008325mh/(mh +
mp)a101.301.501.30.00083250.043379195534.58620.03331.339
.0390390390.03331.646.54654654650.03331.440.54054054050.
00083250.08353622775.01830.06661.440.54054054050.06661.7
49.54954954950.06661.543.54354354350.00083250.154519402
1115.1540.09991.442.0420420420.09991.852.55255255260.099
91.646.54654654650.000832550.13321.543.54354354350.13321
.955.55555555560.13321.749.54954954950.000832560.16651.5
45.0450450450.16651.957.05705705710.16651.852.5525525526
0.000832570.19981.545.0450450450.1998258.55855855860.199
81.955.55555555560.000832580.23311.646.54654654650.23312
.161.56156156160.23312.160.06006006010.000832590.26641.6
48.0480480480.26642.264.56456456460.26642.264.5645645646
0.0008325100.29971.648.0480480480.29972.266.06606606610.
29972.367.56756756760.0008325110.3331.749.54954954950.33
32.469.06906906910.3332.572.07207207210.0008325120.36631
.751.05105105110.36632.472.07207207210.36632.676.5765765
7660.0008325130.39961.852.55255255260.39962.573.57357357
360.39962.881.08108108110.0008325140.43291.854.054054054
10.43292.676.57657657660.43292.985.58558558560.000832515
0.46621.854.05405405410.46622.881.08108108110.46623.190.0
900900901k 34.5856δk0.00487634k 75.0181δk0.0100844k
115.153δk0.0153589
V vs T
m200
8.3250000000000012E-4 8.3250000000000012E-4
8.3250000000000012E-4 8.3250000000000012E-4
8.3250000000000012E-4 8.3250000000000012E-4
8.3250000000000012E-4 8.3250000000000012 E-4
8.3250000000000012E-4 8.3250000000000012E-4
8.3250000000000012E-4 8.3250000000000012E-4
8.3250000000000012E-4 8.3250000000000012E-4
8.3250000000000012E-4 8.3250000000000012E-4
8.3250000000000012E-4 8.3250000000000012E-4
8.3250000000000012E-4 8.3250000000000012E-4
8.3250000000000012E-4 8.3250000000000012E-4
8.3250000000000012E-4 8.3250000000000012E-4
8.3250000000000012E-4 8.3250000000000012E-4
8.3250000000000012E-4 8.3250000000000012E-4
8.3250000000000012E-4 8.3250000000000012E-4
3.3300000000000003E-2 6.6600000000000006E-2
9.9900000000000003E-2 0.13320000000000001
0.16650000000000001 0.19980000000000001 0.2331
0.26640000000000003 0.29970000000000002
0.33300000000000002 0.36630000000000001
0.39960000000000001 0.43290000000000001 0.4662
40.54054054054054 43.543543543543535
46.546546546546544 49.549549549549539
52.552552552552548 55.55555555555555
60.060060060060053 64.564564564564563
67.567567567567565 72.072072072072061
76.576576576576571 81.081081081081081
85.585585585585562 90.090090090090087 m100
8.3250000000000012E-4 8.3250000000000012E-4
8.3250000000000012E-4 8.3250000000000012E-4
8.3250000000000012E-4 8.3250000000000012E-4
8.3250000000000012E-4 8.3250000000000012E-4
8.3250000000000012E-4 8.3250000000000012E-4
8.3250000000000012E-4 8.3250000000000012E-4
8.3250000000000012E-4 8.3250000000000012E-4
8.3250000000000012E-4 8.3250000000000012E-4
8.3250000000000012E-4 8.3250000000000012E-4
8.3250000000000012E-4 8.3250000000000012E-4
8.3250000000000012E-4 8.3250000000000012E-4
8.3250000000000012E-4 8.3250000000000012E-4
8.3250000000000012E-4 8.3250000000000012E-4
8.3250000000000012E-4 8.3250000000000012E-4
8.3250000000000012E-4 8.3250000000000012E-4
3.3300000000000003E-2 6.6600000000000006E-2
9.9900000000000003E-2 0.13320000000000001
0.16650000000000001 0.19980000000000001 0.2331
0.26640000000000003 0.29970000000000002
0.33300000000000002 0.36630000000000001
0.39960000000000001 0.43290000000000001 0.4662
46.546546546546544 49.549549549549539
52.552552552552548 55.55555555555555 57
.057057057057051 58.558558558558552
61.561561561561547 64.564564564564563
66.066066066066071 69.069069069069059
72.072072072072061 73.573573573573569
76.576576576576571 81.081081081081081 m50
8.3250000000000012E-4 8.3250000000000012E-4
8.3250000000000012E-4 8.3250000000000012E-4
8.3250000000000012E-4 8.3250000000000012E-4
8.3250000000000012E-4 8.3250000000000012E-4
8.3250000000000012E-4 8.3250000000000012E-4
8.3250000000000012E-4 8.3250000000000012E-4
8.3250000000000012E-4 8.3250000000000012E-4
8.3250000000000012E-4 8.3250000000000012E-4
8.3250000000000012E-4 8.3250000000000012E-4
8.3250000000000012E-4 8.3250000000000012E-4
8.3250000000000012E-4 8.3250000000000012E-4
8.3250000000000012E-4 8.3250000000000012E-4
8.3250000000000012E-4 8.3250000000000012E-4
8.3250000000000012E-4 8.3250000000000012E-4
8.3250000000000012E-4 8.3250000000000012E-4
3.3300000000000003E-2 6.6600000000000006E-2
9.9900000000000003E-2 0.13320000000000001
0.16650000000000001 0.19980000000000001 0.2331
0.26640000000000003 0.29970000000000002
0.33300000000000002 0.36630000000000001
0.39960000000000001 0.43290000000000001 0.4662
39.039039039039039 40.54054054054054
42.042042042042034 43.543543543543535
45.045045045045043 45.045045045045043
46.546546546546544 48.048048048048045
48.048048048048045 49.549549549549539
51.051051051051047 52.552552552552548
54.054054054054049 54.054054054054049
4.8763399999999998E-3 1.00844E-2 1.53589E-2
4.8763399999999998E-3 1.00844E-2 1.53589E-2
4.3379195513101397E-2 8.353622701704308E-2
0.15451940206025871 34.585999999999999
75.018000000000001 115.15

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CATCH Y TITLE WH AT AM I D O ING IN TH IS PAPE.docx

  • 1. CATCH Y TITLE : WH AT AM I D O ING IN TH IS PAPE R? S TUD E NT NAME J on a t h a n Va r h ola S O C 2 0 0 0 -XX D ATE O F S UBMIS S IO N 1 I. In t r od u ct ion a . S ociologica l Im a gin a t ion i. Cor r ela t ion b et ween p er s on a l exp er ien ces of d r u g u s er s a n d h ea lt h effect ou t com es p a r t ia lly s h a p ed b y s ociet y
  • 2. ii. Im p or t a n t t o u n d er s t a n d u n d er lyin g r ela t ion s h ip s b et ween a ll k ey a ct or s b . Ps ych ot r op ic d r u gs ill effect s a r e a s ocia l p r ob lem i. S ociet y a t la r ge a ffect ed in clu d in g m a n y d iffer en t a ge gr ou p s , b a ck gr ou n d s a n d h is t or ies of p eop le ii. Q u a lit y of life d efla t ion a n d u n s a t is fa ct or y h ea lt h effect ou t com es ou t weigh b en efit s fr om t r ea t m en t s t h a t r eq u ir e p s ych ot r op ic d r u g u s e iii. Med ica l in d u s t r y r egu la t ed a t a s ociet a l or m a cr o level c . Ps ych ot r op ic d r u g u s e effect s on h ea lt h i. Q u a lit y of life 1 . G en er a l h ea lt h p r ob lem s (F leis ch h a ck er et a l., 2 0 1 1 ). ii. S id e effect s a ffect in g a ll a ges (Ch eu n g, Levit t & S za la i, 2 0 0 3 ). 1 . Ad oles cen t s (G r ek in , O b er leit n er , Tzilos & Zu m b er g, 2 0 1 1 ). 2 . E ld er ly (Alla et a l., 2 0 0 4 ). iii. S u icid e a t t em p t s
  • 3. 1 . S u icid a l t h ou gh t s a n d a ct s (Cou gn a r d , G r ollea u , Molim a r d , Tou r n ier & Ver d ou x, 2 0 0 9 ). d . Th es is S t a t em en t i. In t h is p a p er , I will b e s t u d yin g t h e im p a ct of p s ych ot r op ic d r u g u s e on u s er q u a lit y of life . II. Lit er a t u r e Review a . Poor h ea lt h b eh a vior (F leis ch h a ck er et a l., 2 0 1 1 ) i. WH O Q O L-BRE F r ed u ced q u a lit y of life in p s ych ot r op ic d r u g u s er s ii. S m ok e ciga r et t es m or e com m on ly, r ed u ced p h ys ica l a ct ivit y a n d h igh er b od y m a s s in d ex; com p a r ed t o n on -u s er s b . D ep en d en cy (Alla et a l., 2 0 0 4 ) i. Non con s u m er s h a ve b es t q u a lit y of life ii. O cca s ion a l con s u m er s lim it ed in s ociet a l r oles a n d exp er ien ce wor s e m en t a l h ea lt h iii. Con t in u ou s con s u m er s h a ve wor s e s ocia l fu n ct ion in g a b ilit y a n d a r e d ep en d en t on d r u gs c . S id e E ffect s (Ch eu n g et a l., 2 0 0 3 )
  • 4. i. H ea lt h y a d oles cen t s con cer n ed wit h m ed ica l r ea s on s of s id e effect s ii. Ad oles cen t s wit h d ep r es s ion con cer n ed wit h r es u lt in g fu n ct ion a l im p a ir m en t s of s id e effect s d . College u s e (G r ek in et a l., 2 0 1 1 ) i. Ps ych ot r op ic d r u g m ixin g wit h a lcoh ol on college ca m p u s es ii. S t u d en t s m is u s in g d r u gs in q u a n t it y 2 iii. Low r a t e of s u icid a l b eh a vior q u es t ion in g b y p h ys icia n s e . In t en t ion a l d r u g over d os e i. Pr es cr ib ed d r u gs u s ed in in t en t ion a l d r u g over d os e ii. S u b ject s in ges t in g n on p r es cr ib ed d r u gs in ID O h a d ot h er p r es cr ib ed p s ych ot r op ic d r u gs iii. H yp n ot ic a n d r ela t ed d r u gs m os t fr eq u en t ly in ges t ed III. D a t a a n d Met h od s a . S u r vey collect ion in Au s t r ia , (F leis ch h a ck er et a
  • 5. l., 2 0 1 1 ) i. s a m p le s ize=n =8 7 ii. s m a ll s a m p le s ize m a k es q u a n t it a t ive gen er a liza t ion s d ifficu lt iii. wea k n es s of s u r vey m et h od : s elf-r ep or t ed d a t a m a y b e u n r elia b le iv. G en er a l s a t is fa ct ion wit h life a n d well-b ein g d ecr ea s ed b . Non -p a r t icip a n t ob s er va t ion a l s t u d y in F r a n ce (Alla et a l., 2 0 0 4 ) i. s a m p le s ize ii. s a m p le s ize cr it iq u e iii. k ey fin d in g(s ) c . Q -s or t m et h od ology u s ed in Ca n a d a (Ch eu n g et a l., 2 0 0 3 ) i. s a m p le s ize ii. s a m p le s ize cr it iq u e iii. k ey fin d in g(s ) d . In t er views con d u ct ed in t h e US A (G r ek in et a l., 2 0 1 1 ) i. s a m p le s ize ii. s a m p le s ize cr it iq u e iii. k ey fin d in g(s ) e . Q u a n t it a t ive r e s ea r ch a n d s t a t is t ica l a n a lys is p er for m ed in F r a n ce
  • 6. (Cou gn a r d et a l., 2 0 0 9 ) i. s a m p le s ize ii. s a m p le s ize cr it iq u e iii. k ey fin d in g(s ) IV. Th eor y a . S ocia l Con flict Th eor y i. Ph ys icia n s h a ve m or e k n owled ge of d r u gs t h a n d o p a t ien t s ii. Pa t ien t s m a y b elieve p h ys icia n s a r e p er for m in g well in t h eir d u t y b u t u n exp ect ed s id e effect s m a y t r u ly b e a s ign of n egligen ce iii. Ph ys icia n s p ot en t ia lly exp loit in g p a t ien t s s im p ly t o m a k e m on ey b . F u n ct ion a lis m i. Ph ys icia n s a r e exp ect ed t o b e m ed ica l a u t h or it ies ii. Pa t ien t s a r e exp ect ed t o b e a b le t o r ely on p h ys icia n s for a ccu r a t e a n d fu n ct ion a l in for m a t ion a b ou t d r u g u s e a n d s a fet y c . S ym b olic In t er a ct ion is m i. F eelin gs a b ou t d r u gs a n d d r u g u s e va r y b et
  • 7. ween cu lt u r es , s u b cu lt u r es a n d gr ou p s 3 ii. Le vels of k n owled ge r ega r d in g d r u gs a n d d r u g u s e d ep en d on p r eviou s in t er a ct ion s exp er ien ced b y a given a ct or V. Con clu s ion a . In t h is p a p er , I h a ve s t u d ied t h e im p a ct of p s ych ot r op ic d r u g u s e on u s er q u a lit y of life . b . F u t u r e r es ea r ch on p s ych ot r op ic d r u g u s e , a lon g wit h it s im p a ct on u s er q u a lit y of life , is n eed ed , b a s ed on m y k ey fin d in g t h a t _______________. c . F u t u r e r es ea r ch er s m a y con s id e r u s in g a ________ m et h od ologica l a p p r oa ch , b eca u s e _____________. d . In d ivid u a ls n eed b et t er ed u ca t ion on d r u gs b efor e get t in g p r es cr ib ed t h es e m ed ica t ion s , t h er efor e s ocia l a n d / or lega l p olicy s h ou ld b e ch a n ged in t h e followin g wa y:
  • 8. ______________. 4 Refer en ces Alla , F ., Ba u m a n n , M., Bon n et a in , F ., Br ia n con , S . (2 0 0 4 ). Q u a lit y of life a n d a t t it u d es t owa r d s p s ych ot r op ics a n d d ep en d en cy: con s u m er s vs . n on - con s u m er s a ged 5 0 a n d over . J ou rn a l of Clin ica l Ph a rm a cy & Th e ra p e u tics , 2 9 (5 ), 4 0 5 -4 1 5 . Ch eu n g, Am y H ., Levit t , An t h on y J ., S za la i, J oh n P. (2 0 0 3 ). Im p a ct of An t id ep r e s s a n t S id e E ffect s on Ad oles cen t Q u a lit y of Life. Ca n a d ia n J ou rn a l of Ps y ch ia try , 4 8 (1 1 ), 7 2 7 -7 3 3 . Cou gn a r d , A., G r ollea u , A., Molim a r d , M., Tou r n ier , M., Ver d ou x, H . (2 0 0 9 ). F a ct or s a s s ocia t ed wit h ch oice of p s ych ot r op ic d r u gs u s ed for in t en t ion a l
  • 9. d r u g over d os e. Eu rop e a n A rch iv e s of Ps y ch ia try a n d Clin ica l Ne u ros cie n ce , 2 5 9 (2 ), 8 6 -9 1 . F leis ch h a ck er , Wolfga n g W., Kop p , Ma r t in , Ku m n ig, Ma r t in ., Ru ed l, G er h a r d ., Ru m p old , G er h a r d ., S t u r z, Kr is t in a . (2 0 1 1 ). Poor h ea lt h b eh a viou r a n d r e d u ced q u a lit y of life of Peop le t r ea t ed wit h p s ych ot r op ic d r u gs . H u m a n Ps y ch op h a rm a cology : Clin ica l & Ex p e rim e n ta l, 2 6 (2 ), 1 6 1 -1 6 7 . G r ek in , E m ily R., O b e r leit n er , Lin d s a y M.S ., Tzilos , G olfo K., Zu m b er g, Ka t h r yn , M. (2 0 1 1 ). Ps ych ot r op ic D r u g Us e a m on g College S t u d en t s : Pa t t e r n s of Us e, Mis u s e, a n d Med ica l Mon it or in g. J ou rn a l of A m e rica n Colle ge H e a lth , 5 9 (7 ), 6 5 8 -6 6 1 . Annotated bibliography
  • 10. Student’s Name: Omar Allansari Instructor: Dr.Jonathan Varhola Date: February 13th, 2017 SUBSTANCE ABUSE IN ADOLESCENTS; AN ANNOTED BIBLIOGRAPHY Park, Alice, and Alice Park. "Teens and Drugs: Rite of Passage or Recipe for Addiction? The above publication in the TIME magazine contains data regarding the ever increasing numbers in substance abuse in teenagers. A study conducted in recent time’s shows that the percentage of high school students who have in any way abused a drug is more than 75%. These include illicit drugs, alcohol and tobacco. In the article, the author insists that over 90% of addiction cases was recorded for those who started using the drugs before the recommended age of eighteen years; this indicates that addiction later in one’s life is due to the early abuse of drugs, in their adulthood. Hence this publication is important to the topic since it lets us know how early substance abuse can affect the later years of a person and it also shows the drug abuse at a teen level hence more understanding. This article informs a lot of readers that what they choose in their teen years can affect their lives many years later. O’Malley, P. M., Johnston, L. D., & G.Bachman, J. (1998). Alcohol Use among Adolescents. Alcohol Health & Research World, 85-93.
  • 11. Three University of Michigan PhD holders made a presentation on the factors which encourage adolescents to partake in alcohol abuse and the related behavioural outcomes. They recorded that male adolescents are more likely to report drinking than their female counterparts although by a small margin although the gender difference for one having to be drunk was higher. Alcohol prevalence is also higher among teenagers. The authors then came to a revelation that alcohol abuse had a close affiliation to the use of other drugs. On further research, on why adolescents drink, they found out that some use alcohol fun, like enjoying a great moment with friends due to alcohol’s great taste, its tension relieving ability and the ability to make you high. A small number was recorded to use alcohol to help them cope through hard situations. White, W.L., Dennis, M. & Tims, F.M. (2002) Adolescent treatment: its history and current Renaissance. Counselor. Authors of this article retrieved from Counselor Magazine are worried that with the increase in adolescent drug abuse there comes great problems. These include emergency room admissions, drug-related deaths, arrests, treatment costs and incarceration rates. The authors studied drug and substance misuse and ways to treat it from the seventeen hundreds to the this day and they found out the following; adult treatment models became of little help or no use at all when used on adolescents. However in the last decade there have been great clinical advances under that department, hence a more developmentally suitable system of treatment with hopeful results came as a result. There is also a great anticipation of more future advances in the medical field.
  • 12. Report for Experiment 4 Newton’s Second Law Name: Your name here Lab partner: Your partner’s name here TA: Your instructor’s name here The date of the experiment here Abstract Acceleration is the coupling strength between the mass of a system and the force acting on it. By comparing the gravitational pull on a . One hanging mass of variable weight is attached to either one
  • 13. puck (Investigation 1) or two (Investigation 2) on a frictionless air table. A spark timer gives a direct way to measure velocity and time of the system, calculating acceleration for three hanging weights. Plotting acceleration vs. the reduced mass of the hanging weights gives a value for gravity. Using one puck, the data within uncertainty is equal to the standard value of gravity. Using two pucks, the data was not equal to gravity within error, as rotational and frictional forces were not included in the linear model. Introduction This experiment will test Newton’s second law and how it relates to different forces. The law can be
  • 14. summarized by the equation, F = ma. It is the point of this experiment to find an acceleration of an object based on a given force and mass of that object. This will effectively solve Newton’s second law in the form a = F/m. In the first investigation we measured the displacement of an air hockey puck as it was pulled by three differing weights, using a spark timer. We calculated the velocity of the puck and graphed velocity vs. time for each weight combination, which gave the acceleration of the puck. To verify Newton’s second law we graphed the accelerations vs. the reduced mass of the system and then compared the slope of that graph to the known value of gravity, 9.81 m/s^2. The second investigation used two pucks strapped together, thereby changing the reduced mass ratio, but otherwise worked the same way as Investigation 1 to calculate the known value of gravity. Investigation 1 Setup & Procedure The air table is set up with a pulley attached to a side. Two pucks are connected to a High Voltage (HV) source to create a circuit for the spark timer. Carbon paper is
  • 15. laid on the table with white paper laying on top of this carbon paper. The second puck is to the side but still on the paper so as not to interfere with the motion of the puck under observation. Weights of either 50, 100, or 200 grams is attached to the puck by the pulley and string. When the HV is on, the weight is dropped and the puck generates a spark every 30 ms. The spark will leave a black carbon dot from the carbon paper on the white paper, which can be measured for displacement. The spark timer is set to 30 Hz, so the time between each dot is 0.0333 s. Ten dots are counted and the displacement between them measured. Using this data, the velocity is calculated and used to graphically find the acceleration of the system. Data & Analysis Table 1 – Displacement and time data from a single puck with different weights hanging down. (a) Data from the 50g hanging weight; (b) Data from the 100g hanging weight; (c) Data from the 200g hanging weight. hanging weight 50 g puck (g) 548
  • 16. displacement # Δx (cm) Δt (s) t (s) δΔx (cm) v (cm/s) δv (cm/s) 1 1.9 0.0333 0.033 0.3 28.528 4.504 2 2 0.0333 0.066 0.3 30.030 4.504 3 2.1 0.0333 0.1 0.3 31.531 4.504 4 2.2 0.0333 0.133 0.3 33.033 4.504 5 2.4 0.0333 0.166 0.3 36.036 4.504 6 2.5 0.0333 0.2 0.3 37.537 4.504 7 2.6 0.0333 0.233 0.3 39.039 4.504 8 2.8 0.0333 0.266 0.3 42.042 4.504 9 2.9 0.0333 0.3 0.3 43.543 4.504 hanging weight 100 g puck (g) 548 displacement # Δx (cm) Δt (s) t (s) δΔx (cm) v (cm/s) δv (cm/s) 1 2.3 0.0333 0.033 0.3 34.534 4.504 2 2.5 0.0333 0.066 0.3 37.537 4.504
  • 17. 3 2.8 0.0333 0.1 0.3 42.042 4.504 4 3.1 0.0333 0.133 0.3 46.546 4.504 5 3.5 0.0333 0.166 0.3 52.552 4.504 6 3.6 0.0333 0.2 0.3 54.054 4.504 7 3.8 0.0333 0.233 0.3 57.057 4.504 8 4.2 0.0333 0.266 0.3 63.063 4.504 9 4.5 0.0333 0.3 0.3 67.567 4.504 hanging weight 200 g puck (g) 548 displacement # Δx (cm) Δt (s) t (s) δΔx (cm) v (cm/s) δv (cm/s) 1 2.1 0.0333 0.033 0.3 31.531 4.504 2 2.7 0.0333 0.066 0.3 40.540 4.504 3 3.2 0.0333 0.1 0.3 48.048 4.504 4 3.5 0.0333 0.133 0.3 52.552 4.504 5 4 0.0333 0.166 0.3 60.060 4.504 6 4.4 0.0333 0.2 0.3 66.066 4.504 7 5 0.0333 0.233 0.3 75.075 4.504
  • 18. 8 5.6 0.0333 0.266 0.3 84.084 4.504 9 5.9 0.0333 0.3 0.3 88.588 4.504 On the paper, each trail of dots was labeled for the specific weight used on the pulley. Our TA helped pick a starting dot, and the dots were numbered 1-10. We measured the displacement between two consecutive dots and labeled it Δx. For example, for displacement #1, we measured the distance between dots 1 and 3. For displacement #2 we measured the distance between dots 2 and 4, etc. The next column in the data, Δt (s), is the time between each carbon dot. The column after that is the total time elapsed from the first dot. The uncertainty of the displacement was determined by the difficulty to accurately measure the middle of the dot, the size of the dot, and the fact that the ruler could not touch the paper directly. The relative uncertainty of the time measurement has been pre-determined to be 0.1%. This is effectively negligible in comparison to the uncertainty of the physical measurements. The velocity of the puck was calculated using the equation � = Δ�/(2Δ�). The uncertainty to the
  • 19. velocity was calculated in Eq. (1), δv = δ∆� ∆� × v (1) From this, we created a graph of velocity vs. time for each weight, seen in Fig. (1). Error bars and an equation of the trend line were added. We imputed the data into the IPL error calculator and found an uncertainty of the slope of 17.4 cm/s^2 for each graph. Figure 1 – Acceleration from pucks using different weights. (a) Puck acceleration from hanging 50g weight; (b) Puck acceleration from hanging 100g weight; (c) Puck acceleration from hanging 200g weight. y = 57.808x + 26.068 0 10 20 30
  • 20. 40 50 60 0 0.05 0.1 0.15 0.2 0.25 0.3 0.35 V e lo ci ty ( cm /s ) Time (s) y = 123.12x + 30.03 0 10 20 30 40
  • 21. 50 60 70 80 0 0.05 0.1 0.15 0.2 0.25 0.3 0.35 V e lo ci ty ( cm /s ) Time (s) y = 213.21x + 25.192 0 10 20 30
  • 22. 40 50 60 70 80 90 100 0 0.05 0.1 0.15 0.2 0.25 0.3 0.35 V e lo ci ty ( cm /s ) Time (s) The slope of each graph is the acceleration of the puck.
  • 23. Newton’s second law states that the sum of all forces equals mass times acceleration. Since gravity acting on the weight is the only force acting on the puck (as long as friction is negligent), then Newton’s law can be written as ��� = (�� + ��)�, (2) where mp is the mass of the puck, mw is the mass of the weight, a is the acceleration, and g is gravity. If acceleration is graphed against mw/(mp+mw), then the slope of the line will be equal to the acceleration of gravity. This is done in Fig. (2). Table 2 – Reduced mass and acceleration data. Weight added (g) Reduced mass mw/(mp+mw) a (cm/s^2) δa (cm/s^2) 50 0.154 57.8 17.4 100 0.214 123.1 17.4 200 0.313 213.2 17.4 Figure 2 – Average gravitational acceleration of the three trials.
  • 24. The slope of our graph is 971.64 cm/s^2. We used the IPL calculator to get the uncertainty of our calculated gravity, 153.36 cm/s^2. This means our value of gravity 971.64 cm ±153.36 cm is equal to 9.81m/s^2, so Newton’s second law is verified. Investigation 2 Setup & Procedure We used the same set up as Investigation 1, but instead of one puck we used both pucks Velcroed together. All setup, procedures, equations, and graphs were the same as before. y = 971.64x - 89.683 0 50 100 150 200 250
  • 25. 0 0.05 0.1 0.15 0.2 0.25 0.3 0.35 A cc e le ra ti o n ( cm /s ^ 2 ) Reduced mass Table 3 – Displacement and time data from two pucks with different weights hanging down. (a) Data from the 50g hanging weight; (b) Data from the 100g hanging weight; (c) Data from the 200g hanging weight.
  • 26. hanging weight 50 g puck (g) 1096 displacement # Δx (cm) Δt (s) t (s) δΔx (cm) v (cm/s) δv (cm/s) 1 2 0.0333 0.033 0.3 30.030 4.504 2 2.1 0.0333 0.066 0.3 31.531 4.504 3 2.2 0.0333 0.1 0.3 33.033 4.504 4 2.3 0.0333 0.133 0.3 34.534 4.504 5 2.4 0.0333 0.166 0.3 36.036 4.504 6 2.5 0.0333 0.2 0.3 37.537 4.504 7 2.4 0.0333 0.233 0.3 36.036 4.504 8 2.5 0.0333 0.266 0.3 37.537 4.504 9 2.7 0.0333 0.3 0.3 40.540 4.504 hanging weight 100 g puck (g) 1096 displacement # Δx (cm) Δt (s) t (s) δΔx (cm) v (cm/s) δv (cm/s) 1 1.5 0.0333 0.033 0.3 22.522 4.504 2 1.7 0.0333 0.066 0.3 25.525 4.504
  • 27. 3 1.8 0.0333 0.1 0.3 27.027 4.504 4 2.1 0.0333 0.133 0.3 31.531 4.504 5 2.2 0.0333 0.166 0.3 33.033 4.504 6 2.4 0.0333 0.2 0.3 36.036 4.504 7 2.6 0.0333 0.233 0.3 39.039 4.504 8 2.6 0.0333 0.266 0.3 39.039 4.504 9 2.7 0.0333 0.3 0.3 40.540 4.504 hanging weight 200 g puck (g) 1096 displacement # Δx (cm) Δt (s) t (s) δΔx (cm) v (cm/s) δv (cm/s) 1 3.6 0.0333 0.033 0.3 54.054 4.504 2 3.7 0.0333 0.066 0.3 55.555 4.504 3 4 0.0333 0.1 0.3 60.060 4.504 4 4.2 0.0333 0.133 0.3 63.063 4.504 5 4.4 0.0333 0.166 0.3 66.066 4.504 6 4.7 0.0333 0.2 0.3 70.570 4.504 7 4.8 0.0333 0.233 0.3 72.072 4.504
  • 28. 8 5.1 0.0333 0.266 0.3 76.576 4.504 9 5.3 0.0333 0.3 0.3 79.579 4.504 We use the same equations for calculation of velocity and uncertainty as Investigation 1. Velocity vs. time was graphed for each of the three weights used, as seen in Fig. (3). Figure 3 – Acceleration from pucks using different weights. (a) Puck acceleration from hanging 50g weight; (b) Puck acceleration from hanging 100g weight; (c) Puck acceleration from hanging 200g weight. Since the uncertainty of velocity did not change at all, the uncertainty for each slope is still 17.4 cm/s^2. The acceleration of the pucks was again graphed against mw/(mp+mw) and error bars and an equation of the trend line were added.
  • 29. y = 34.535x + 29.446 0 5 10 15 20 25 30 35 40 45 50 0 0.05 0.1 0.15 0.2 0.25 0.3 0.35 V e lo ci ty (
  • 30. cm /s ) Time (s) y = 70.571x + 20.938 0 10 20 30 40 50 0 0.05 0.1 0.15 0.2 0.25 0.3 0.35 V e lo ci ty ( cm /s )
  • 31. Time (s) y = 98.348x + 50.008 0 10 20 30 40 50 60 70 80 90 0 0.05 0.1 0.15 0.2 0.25 0.3 0.35 V e lo ci ty (
  • 32. cm /s ) Time (s) Table 4 – Reduced mass and acceleration data for the double puck configuration. Weight added (g) Reduced mass mw/(mp+mw) a (cm/s^2) δa (cm/s^2) 50 0.084 34.5 17.4 100 0.120 70.6 17.4 200 0.186 98.3 17.4 Figure 4 – Average gravitational acceleration of the three trials using two pucks. Since uncertainties did not change, the uncertainty to Fig. (4) is again 153.36 cm/s^2. Our graph shows that our value for gravity of 601.37 ± 153.36 cm/s^2 is not equal to 9.81 m/s^2. There are many reasons
  • 33. why our value is not equal. It could be off because of the pucks turned while they were pulled down the table, which would change some of the linear force into rotational force and thus reduce acceleration. Also, the pucks weren’t secured very well with the string and Velcro tied to it, so that one puck always lurched forward instead of both pucks traveling together smoothly. This would greatly affect the spacing of the spark data points on the table. There may have also been enough friction on the string against the pulley to affect the acceleration of the system. Conclusion In our first investigation we measured gravity as 971.64 ± 153.36 cm/s^2, which is equal the given value of 9.81m/s^2. But in our second investigation our gravity of 601.37 ± 153.36 cm/s^2 is not equal to 9.81 m/s^2. Extra forces that we didn’t account for, or rotational effects, could have decreased the acceleration of the pucks. Newton’s second law tells us no matter the amount of weight our gravity should still equal 9.81m/s^2, but that was not the case in our second investigation. A different method of tying and
  • 34. Velcroing the two pucks together might alleviate the rotational effects if the experiment was performed over again. y = 601.37x - 10.324 0 20 40 60 80 100 120 140 0 0.02 0.04 0.06 0.08 0.1 0.12 0.14 0.16 0.18 0.2 A cc e le ra ti o
  • 35. n ( cm /s ^ 2 ) Reduced mass Questions 1. In each investigation, you measure mass and acceleration. Which measurement has the greater percent error? Don’t just say yes or no. Be quantitative in your answer. The answer to Question 1 goes here, including all relevant calculations. 2. Assume that the spark timer error is 1%. Can it be neglected compared to the error in x? Explain! The answer to Question 2 goes here, including all relevant calculations.
  • 36. 3. What is the acceleration of the system if the hanging mass is doubled and the puck’s mass is doubled? The answer to Question 3 goes here, including all relevant calculations. 4. What is the acceleration if the hanging mass is doubled and the puck’s mass is halved? The answer to Question 4 goes here, including all relevant calculations. Acknowledgements This experiment would not have been possible without the help of my lab partner, Kevin. I’d also like to thank my TA, Andrew Taylor, for the valuable help in understanding how to calculate uncertainty for both velocity and acceleration. References [1] H.Young and R.Freedman, University Physics, 13th edition, Pearson Education. [2] O.Batishchev and A.Hyde, Introductory Physics Laboratory, pp 31-36, Hayden-McNeil, 2015.
  • 37. Investigation 1Puck mass = 547.8 g49.6 g99.4g199.6gtΔxv (cm/s)δΔtδvtΔxv2 (cm/s)tΔx101.10.00006660.000832501.100.6mh/(mh + mp)a20.03331.133.0330330330.00006660.00083250.03331.234. 53453453450.03330.922.52252252250.083026447977.59530.06 661.234.53453453450.00006660.00083250.06661.439.03903903 90.06661.231.53153153150.1535846724144.4940.09991.337.53 753753750.00006660.00083250.09991.543.54354354350.09991. 540.54054054050.2670591383254.8850.13321.440.5405405405 0.00006660.00083250.13321.646.54654654650.13321.646.5465 46546560.16651.543.54354354350.00006660.00083250.16651.9 52.55255255260.1665254.054054054170.19981.646.546546546 50.00006660.00083250.19982.160.06006006010.19982.364.564 564564680.23311.648.0480480480.00006660.00083250.23312.2 64.56456456460.23312.673.573573573690.26641.749.54954954 950.00006660.00083250.26642.367.56756756760.26642.982.58 25825826100.29971.954.05405405410.00006660.00083250.299 72.572.07207207210.29973.291.5915915916110.333258.558558 55860.00006660.00083250.3332.778.07807807810.3333.5100.6 006006006120.3663260.06006006010.00006660.00083250.3663 2.882.58258258260.36633.7108.1081081081130.39962.161.561 56156160.00006660.00083250.3996387.08708708710.39964115 .6156156156140.43292.163.06306306310.00006660.00083250.4 3293.191.59159159160.43294.2123.1231231231150.46622.264. 56456456460.00006660.00083250.46623.396.09609609610.466 24.6132.1321321321k(slope)104.584δk0.0139663k 144.487δk0.0192303k 254.883δk0.0338378 V vs T 50 8.3250000000000012E-4 8.3250000000000012E-4
  • 38. 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 3.3300000000000003E-2 6.6600000000000006E-2 9.9900000000000003E-2 0.13320000000000001 0.16650000000000001 0.199 80000000000001 0.2331 0.26640000000000003 0.29970000000000002 0.33300000000000002 0.36630000000000001 0.39960000000000001 0.43290000000000001 0.4662 33.033033033033036 34.534534534534529 37.537537537537531 40.54054054054054 43.543543543543535 46.546546546546544 48.048048048048045 49.549549549549539 54.054054054054042 58.558558558558552 60.060060060060053 61.561561561561547 63.063063063063062 64.564564564564563 100 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4
  • 39. 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E -4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 3.3300000000000003E-2 6.6600000000000006E-2 9.9900000000000003E-2 0.13320000000000001 0.16650000000000001 0.19980000000000001 0.2331 0.26640000000000003 0.29970000000000002 0.33300000000000002 0.36630000000000001 0.39960000000000001 0.43290000000000001 0.4662 34.534534534534529 39.039039039039032 43.543543543543535 46.546546546546544 52.552552552552548 60.060060060060053 64.564564564564563 67.567567567567565 72.072072072072061 78.078078078078079 82.582582582582575 87.08708708708707 91.59159159159158 96.09609609609609 200 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4
  • 40. 3.3300000000000003E-2 6.6600000000000006E-2 9.9900000000000003E-2 0.13320000000000001 0.16650000000000001 0.19980000000000001 0.2331 0.26640000000000003 0.29970000000000002 0.33300000000000002 0.36630000000000001 0.39960000000000001 0.43290000000000001 0.4662 22.522522522522522 31.531531531531531 40.54054054054054 46.546546546546544 54.054054054054049 64.564564564564549 73.573573573573569 82.582582582582575 91.59159159159158 100.6006006006006 108.1081081081081 115.61561561561561 123.12312312312309 132.13213213213214 1.3966299999999999E-2 1.9230299999999999E-2 3.3837800000000001E-2 1.3966299999999999E-2 1.9230299999999999E-2 3.3837800000000001E-2 8.302644794107801E-2 0.1535846724351051 0.26705913834626704 77.594999999999999 144.49 254.88 Investigation 2Puck1 mass = 547.8 gPuck 2 mass =543.8 g49.5g99.5g199.5gδvtΔxv1 (cm/s)tΔxv 2(cm/s)tΔxv 3(cm/s)0.0008325mh/(mh + mp)a101.301.501.30.00083250.043379195534.58620.03331.339 .0390390390.03331.646.54654654650.03331.440.54054054050. 00083250.08353622775.01830.06661.440.54054054050.06661.7 49.54954954950.06661.543.54354354350.00083250.154519402 1115.1540.09991.442.0420420420.09991.852.55255255260.099 91.646.54654654650.000832550.13321.543.54354354350.13321
  • 41. .955.55555555560.13321.749.54954954950.000832560.16651.5 45.0450450450.16651.957.05705705710.16651.852.5525525526 0.000832570.19981.545.0450450450.1998258.55855855860.199 81.955.55555555560.000832580.23311.646.54654654650.23312 .161.56156156160.23312.160.06006006010.000832590.26641.6 48.0480480480.26642.264.56456456460.26642.264.5645645646 0.0008325100.29971.648.0480480480.29972.266.06606606610. 29972.367.56756756760.0008325110.3331.749.54954954950.33 32.469.06906906910.3332.572.07207207210.0008325120.36631 .751.05105105110.36632.472.07207207210.36632.676.5765765 7660.0008325130.39961.852.55255255260.39962.573.57357357 360.39962.881.08108108110.0008325140.43291.854.054054054 10.43292.676.57657657660.43292.985.58558558560.000832515 0.46621.854.05405405410.46622.881.08108108110.46623.190.0 900900901k 34.5856δk0.00487634k 75.0181δk0.0100844k 115.153δk0.0153589 V vs T m200 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012 E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 3.3300000000000003E-2 6.6600000000000006E-2
  • 42. 9.9900000000000003E-2 0.13320000000000001 0.16650000000000001 0.19980000000000001 0.2331 0.26640000000000003 0.29970000000000002 0.33300000000000002 0.36630000000000001 0.39960000000000001 0.43290000000000001 0.4662 40.54054054054054 43.543543543543535 46.546546546546544 49.549549549549539 52.552552552552548 55.55555555555555 60.060060060060053 64.564564564564563 67.567567567567565 72.072072072072061 76.576576576576571 81.081081081081081 85.585585585585562 90.090090090090087 m100 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 3.3300000000000003E-2 6.6600000000000006E-2 9.9900000000000003E-2 0.13320000000000001 0.16650000000000001 0.19980000000000001 0.2331 0.26640000000000003 0.29970000000000002 0.33300000000000002 0.36630000000000001 0.39960000000000001 0.43290000000000001 0.4662 46.546546546546544 49.549549549549539
  • 43. 52.552552552552548 55.55555555555555 57 .057057057057051 58.558558558558552 61.561561561561547 64.564564564564563 66.066066066066071 69.069069069069059 72.072072072072061 73.573573573573569 76.576576576576571 81.081081081081081 m50 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 8.3250000000000012E-4 3.3300000000000003E-2 6.6600000000000006E-2 9.9900000000000003E-2 0.13320000000000001 0.16650000000000001 0.19980000000000001 0.2331 0.26640000000000003 0.29970000000000002 0.33300000000000002 0.36630000000000001 0.39960000000000001 0.43290000000000001 0.4662 39.039039039039039 40.54054054054054 42.042042042042034 43.543543543543535 45.045045045045043 45.045045045045043 46.546546546546544 48.048048048048045 48.048048048048045 49.549549549549539 51.051051051051047 52.552552552552548 54.054054054054049 54.054054054054049
  • 44. 4.8763399999999998E-3 1.00844E-2 1.53589E-2 4.8763399999999998E-3 1.00844E-2 1.53589E-2 4.3379195513101397E-2 8.353622701704308E-2 0.15451940206025871 34.585999999999999 75.018000000000001 115.15