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Chapter12

# Chapter12 - Chapter12:Gravitation 1.LawofGravitation...

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Chapter 12: Gravitation

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1. Law of Gravitation Gravitational Force G=6.67 × 10 -11 N m 2 /kg 2 Force is in the direction of a unit radial vector . 1 2 2 ˆ m m F G r r = - r
A uniform solid of matter attracts a particle as if all the solid’s mass were concentrated at its center. A uniform shell of matter attracts a particle that is outside the shell as if all the solid’s mass were concentrated at its center.

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Gravity in the shell
Gravitation inside Earth

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Principle of superposition Gravity at the earth’s surface 1, 12 13 14 1 net n F F F F F = + + + + r r r r r L 2 E Mm F G mg R = = 2 E M g G R =
Example 12.3) Find the magnitude and direction of the total gravitational force exerted on the mass at the origin by two other masses.

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Gravity (and hence, weight) decreases as altitude rises.
Problems 12.19) Calculate the earth’s gravity force on a 75-kg astronaut who is repairing the Hubble Space Telescope 600 km above the earth’s surface. In view of your result, explain why we say astronauts are weightless when they orbit the earth in a satellite such as a space shuttle?

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3. Gravitational Potential Energy
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Chapter12 - Chapter12:Gravitation 1.LawofGravitation...

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