TPR AP Work, Energy, and Power MCQ 3 11469

A box of mass $m$ slides down a frictionless inclined plane of length $L$ and vertical height $h$. What is the change in its gravitational potential energy?

 A)  $-mgL$ 

 B)  $-mgh$ 

 C)  $-\displaystyle \frac{mgL}{h}$ 

 D)  $-\displaystyle \frac{mgh}{L}$

 A)  $-mgL$ 

 B)  $-mgh$ 

 C)  $-\displaystyle \frac{mgL}{h}$ 

 D)  $-\displaystyle \frac{mgh}{L}$

Since the box (mass $m$) falls through a vertical distance of $h$, its gravitational potential energy decreases by $mgh$. The length of the ramp is irrelevant here. If friction were involved then the length of the plane would matter.