If two identical bowling balls are raised to the same height, one on Earth, the other on Mars, which has the larger gravitational potential energy increase?

A)The bowling ball on Mars will have the larger gravitational potential energy.

B)Both balls will have the same gravitational potential energy.

C)The bowling ball on Earth will have the larger gravitational potential energy.

Consider what weight is:

W=GMplanet*massobject/radiusplanet^2

so how does the massplanet/radius^2 compare on each of these planets?

but they don't give me any numbers

To determine which bowling ball has the larger gravitational potential energy increase, we need to consider the formula for gravitational potential energy:

Gravitational Potential Energy = mass × gravitational acceleration × height.

Both bowling balls have the same mass and will be raised to the same height. However, the gravitational acceleration on Mars is about 0.38 times that of Earth's.

Therefore, using the formula, we can see that the gravitational potential energy of the bowling ball on Mars will be less than that of the one on Earth. Thus, the correct answer is:

C) The bowling ball on Earth will have the larger gravitational potential energy.