physics
posted by dean
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?

bobpursley
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.
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