# COLM-08- Answersheet

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26 de May de 2023
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### COLM-08- Answersheet

• 1. OBJECTIVE LEVEL I 1. (c) 2. (b) 3. (c) 4. (d) 5. (b) 6. (b) 7. (a) 8. (d) 9. (c) 10. (b) 11. (c) 12. (d) 13. (a) 14. (a) 15. (d) OBJECTIVE LEVEL - II 1. (a) 2. (b) 3. (d) 4. (b) 5. (c) 6. (b) 7. (b) 8. (a) 9. (a) 10. (a) 11. (c) 12. (c) 13. (b) 14. (c) 15. (c) (C.B.S.E.) SUBJECTIVE LEVEL - I 1. 6 cm. along OO from the sphere of smaller radius. 2. 2 (1 e)u sin2 g  
• 2. 4. 5 m/sec. 5. 10 2 m/sec. 9 at 45º with x-axis. 6. 1 2 7. 100 3 metre 8. t = 155 second v = 2681 m/s. 9. mg 11. 18.29 m/sec2 . 13. momentum is conserved. 14. bob will not rise because whole momentum is transferred to the body at rest. 15. speed will remain constant. SUBJECTIVE LEVEL - II 2. (i) rel mu m M  (ii) ML m M  3. (i) 2usin 1 g 1 e         (ii) 2 u sin 2 g(1 e)   (iii) 1 n tan (e tan )     4. 2 1 3 m m m  5. 2 M M m l       
• 3. 6. 3mv2 7. 0.167 N-s 8. 2 2 2 1 M mV 2 (m 2M)  9. 2 d 1 e  10. Vsphere = 2 2 V(eM msin ) (M msin )     Vwedge = 2 mvsin (1 e) (M msin )     . SUBJECTIVE LEVEL - III 1. 2 Mv h 2g(M m)   2. 2 max 2 M h h (m M)   3. 2 1 max 1 2 2m 2gr V m m   4. A V 23.2 m /s   40.3º B V 41.9 m/s   55.6º 5. Mx g m 2H 2(H h)       , Mx m left to the line of fall 6. (a) m M m l l    (b) mM dv F M m dt    
• 4. 7. 12 x d 13  8. 2 2 2 2m gh cos V (M m)(M msin )      9. A 3 V u 4  ; B 7 V u 4  ; 3 J m 4  u 10.   A 1 ˆ ˆ V i 7j 2     ; B 1 ˆ ˆ V ( i 9j) 4     . PROBLEMS 1. 0 t 12s  v = 15.75 m/s 2. (a) 45º   (b) v = 2 m/s 3. e = 0.84 M 15.12kg  4. (a) 0 5 v (6 gd) 2   (b) x 6d 3    .