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Question

This test has a time limit of 1 hour. This test will save and submit automatically when the time expires. Warnings appear when half the time 5 minutes 1 minute and 30 seconds remain. Not allowed. This test can only be taken once. You and your friend want to go to the top of the Eiffel Tower. Your friend takes the elevator straight up. You decide to walk up the spiral stairway, taking longer to do so. Compare the gravitational potential energy (U) of you and your friend, after you both reach the top. It is impossible to tell, since the distances are unknown. Both of you have the same amount of potential energy. Your friend s U is greater than your U, because she got to the top faster. Your U is greater than your friend's U, because you traveled a greater distance in getting to the top. It is impossible to tell, since the times are unknown.

Explanation / Answer

The gravitational potential energy is the energy that a system possesses because of its position in a gravitational field
In this case the two peoples reach the same height .The potential energy of the two person at the same height h is
PE = m g h
Where m is the mass of the person , g is gravitational constant
If the two persons have the same mass then the potential energy of both the persons at the same height will be the same
And it does not depend on the time to reach that height
So option two is correct

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