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.