Chapter 13

# Chapter 13 - 13. Gravitation Historical interlude...

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13. Gravitation

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Historical interlude
Gravitation Constant Determined experimentally Henry Cavendish • 1798 The light beam and mirror serve to amplify the motion

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Applications of Universal Gravitation Gravitational force on Earth surface G gR m R m G g R mm G mg R mm G F E E E E E E E E g 2 2 2 2 = = = = kg 10 6 6380 / 8 . 9 take 24 2 × = = = E E m km R s m g

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Why can we take g=const. at earth’s surface? 2 . E GM g const r = Newton says force on mass m a distance r from center of earth is But earlier we said F=mg So it must be that 2 E E GM R
Applications of Universal Gravitation Acceleration due to gravity g will vary with altitude E E R r r M G r g = , ) ( 2

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Example 1
Example 1 soln.

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Example 1 soln cont’d
An object of mass 0.50 kg is transported to the surface of Planet X where the object’s weight is measured to be 20 N. The radius of the planet is 4.0 × 10 6 m. What free fall acceleration will the 0.50-kg object

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## This note was uploaded on 03/12/2010 for the course PHY 2049 taught by Professor Any during the Spring '08 term at University of Florida.

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Chapter 13 - 13. Gravitation Historical interlude...

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