Gravitational Fields

Gravitational Fields and Forces

Gravitational Force and Field ,[object Object],[object Object],[object Object]

Newton´s Law of Universal Gravitation ,[object Object],[object Object]

[object Object],[object Object],[object Object],[object Object]

Calculate the gravitational pull of the Earth on the moon ,[object Object],[object Object],[object Object]

Gravitational Field Strength ,[object Object],[object Object]

[object Object],[object Object]

Field Strength at the Surface of a Planet ,[object Object],[object Object]

Is g = 9.81 ? ,[object Object]

Gravitational Energy and Potential ,[object Object],[object Object],[object Object],[object Object]

Definition ,[object Object],[object Object]

Gravitational potential and strength ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Equipotentials ,[object Object],[object Object],[object Object],[object Object],[object Object]

Equipotentials for 2 point masses is like two positive charges

Escape Speed ,[object Object],[object Object]

[object Object],[object Object],[object Object],[object Object],[object Object]

[object Object],[object Object],[object Object]

Graphs Gravitational field strength versus distance g α 1/r 2 Gravitational potential versus distance V α -1/r

Components of Motion ,[object Object],[object Object],[object Object]

Solving Problems ,[object Object]

Example ,[object Object],40 o 10ms -1

[object Object],[object Object],10.0 sin 40.0 o 10.0 cos 40.0 o 40.0 o 10.0ms -1

[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Using the Conservation of Energy ,[object Object],[object Object]

Solution 2.0m 25.0 ms -1 A B v = v horizontal H

Orbital Motion ,[object Object],[object Object],[object Object],[object Object],[object Object]

Deriving the Third Law ,[object Object],[object Object],[object Object]

[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

[object Object],[object Object],Kepler´s Third Law

Energy of Orbiting Satellites ,[object Object],[object Object],[object Object],[object Object],[object Object]

Energy of Orbiting Satellite ,[object Object],[object Object],[object Object],[object Object],[object Object]

Energy of Orbiting Satellite ,[object Object],[object Object],[object Object],[object Object]

Graphs of Energy Against Radius ,[object Object],E p 1/r E p r ,[object Object],[object Object],[object Object]

Graphs of Energy Against Radius ,[object Object],E k 1/r E k r ,[object Object],[object Object],[object Object],[object Object]

Graphs of Energy Against Radius ,[object Object],E total 1/r E total r ,[object Object],[object Object],[object Object],[object Object]

Weightlessness ,[object Object],mg T a

Orbital Weightlessness ,[object Object],[object Object],[object Object]

Gravitational Fields

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Gravitational Fields