You release a block from the top of a long, slippery inclined plane of length l that makes an angle θ with the horizontal. The m
agnitude of the block's acceleration is gsin(θ). 1- For an x axis pointing down the incline and having its origin at the release position, derive an expression for the potential energy of the block-Earth system as a function of x. Suppose that the gravitational potential energy is measured relative to the ground at the bottom of the incline, UG(x=l)=0.
Express your answer in terms of g and the variables m, l, x, and θ.
(U^G=?)
2-
Use the expression you derived in the previous part to determine the speed of the block at the bottom of the incline. (Vx,f=?)
Express your answer in terms of g and the variables m, l, and θ.