College Physics
College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Determine g for each situation using the method shown in the example below:

Example: Planet Moe has the same mass as Earth, but twice the radius.

Calculate gMoe by using the fact that gE = 9.81 m/s2 on Earth.

gE = GM  / rE2 = 9.81 m/s2

gMoe = GMMoe  / rMoe2 = GME  / (2rE)2 = 1 GME  / 4rE2  = ¼ x 9.81 m/s= 2.45 m/s2

a) Planet X has a mass 3 times that of the earth, but the same radius. What is the acceleration due to gravity near its surface?

b) A distant planet has a radius half the size of Earth’s, but it has the same mass as Earth.What is the acceleration due to gravity near its surface?

c) Neptune has a radius 3.9 times that of earth and a mass 17 times that of the earth.What is B at its surface?

d) A woman who weighs 800.0 N on Earth wants to lose weight, so she takes a trip to Planet Lite, which has twice the mass and three times the radius of earth. 

- What is B on Planet Lite? 

- What is her weight on Planet Lite?

e) What is g for a falling apple released from a distance of . . .

  • earth radius above the earth's surface?
  • earth radii from the center of the earth?
  • 10 earth radii from the center of the earth?

f) What is the centripetal acceleration of a communication satellite orbiting at an altitude of 5.6 earth radii?

 

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