Gravitational field of the moon

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The discussion focuses on calculating the work done by the Moon's gravitational field on a 1100 kg meteor impacting its surface. The formula used is W=GMm/r, where G is the gravitational constant, M is the Moon's mass, m is the meteor's mass, and r is the distance from the center of the Moon. An initial calculation yields approximately 2.9 X 10^9 joules, but there is a suggestion to verify the radius of the Moon, which should be 1.7 X 10^6 meters instead of 1.5 X 10^6 meters. This adjustment could lead to a more accurate result for the work done. Accurate values are crucial for precise calculations in gravitational physics.
chocolatelover
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[SOLVED] gravitational field

Homework Statement


How much work is done by the Moon's gravitational field as a 1100kg meteor comes in from outer space and impacts on the Moon's surface?


Homework Equations



W=GMm/r

The Attempt at a Solution



W=6.67 X 10^-11(6 X 10^22)(1100kg)/1.5 X 10^6
=2.9 X 10^9

Thank you very much
 
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You should be getting the correct answer as long as the numbers you're using are correct. Check that value for the radius of the moon. Shouldn't it be 1.7*10^6 m? If so, your answer may be off a little bit.
 
Thank you very much

Regards
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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