You and your friend, who weighs the same as you, 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 of you and your friend, after you both reach the top.
A) It is impossible to tell, since the times you both took are unknown.
B) It is impossible to tell, since the distances you both traveled are unknown.
C) You friend's gravitational potential energy is greater than yours, because he got to the top faster.
D) Your gravitational potential energy is greater than that of your friend, because you traveled a greater distance getting to the top.
E) Both of you have the same amount of gravitational potential energy at the top.