The acceleration due to gravity, g, is given by g = GM r2 , where M is the mass of the

Chapter 0, Problem 115

(choose chapter or problem)

The acceleration due to gravity, g, is given by g = GM r2 , where M is the mass of the earth, r is the distance from the center of the earth, and G is the universal gravitational constant. (a) Show that when r changes by r, the change in the acceleration due to gravity, g, is given by g 2g r r . (b) What is the significance of the negative sign? (c) What is the percent change in g when moving from sea level to the top of Pikes Peak (4.315 km)? Assume the radius of the earth is 6400 km.

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