
NASA sends a 100 kg astronaut to a planet with a radius three times that of Earth and a mass nine times that of Earth. The acceleration due to gravity, g, experienced by the astronaut will be:

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Correct Answer: C.
FG earth = G mearthmbody/r^2
On the planet we get:
FG planet = G 9mearthmbody/3r^2 = FG earth
Since the force of gravity and the mass of the astronaut remain the same on both the planet and on earth, the acceleration due to gravity must also be the same, F/m = g = constant.
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