posted by Matt on .
A 31.0 kg crate, initially at rest, slides down a ramp 2.6 m long and inlined 14 degrees with the horizontal. Using the work-kinetic energy theorem and disregarding friction, find the velocity of the crate at the bottom of the ramp
If there is no friction, the angle of the slope doesnt matter. The mass won't matter either, after you set
M g H = (1/2) M V^2
and solve for V.
H is the vertical distance that it falls. Since you know the length L and the angle,
H = L sin 14.