A block with mass m = 24.0 kg slides down an inclined plane of slope angle 41.4 ° with a constant velocity. It is then projected up the same plane with an initial speed 3.80 m/s. How far up the incline will the block move before coming to rest?

Answer 1

Ok, figure the coefficent of friction.

mu=tan41.4 you need to prove that.

Then

Initial KE=change in PE + workdoneonfriction

let x be the distance up the plane.

1/2 m v^2=mg x*sinTheta + x*mu*mgCosTheta

do the algebra, solve for x.