Asked by Kimberly

A block of mass is moving along the horizontal frictionless surface with a speed of 5.70 m/s. If the slope is 11.0° and the coefficient of kinetic friction between the block and the incline is 0.260, how far does the block travel up the incline? Show step by step please! Thanks!!

Answers

Answered by bobpursley
first of all, look at the block on the incline.

The normal force is mgCosTheta
the friction force then is mu*mg*CosTheta

The portion of the block weight that is going down the incline is mgSinTheta.


initial KE=workdonegoingup slope
1/2 m v^2=(mu*mgCosTheta+mgSinTheta)d

solve all that for d.
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