Question #269015

A 1.0 kg block is pushed 3.0 m at a constant velocity up a vertical wall by a constant force applied at an angle of 28.0 ◦ with the horizontal, as shown in the figure. The acceleration of gravity is 9.81 m/s 2.If the coefficient of kinetic friction between the block and the wall is 0.30, find a) the work done by the force on the block.


Expert's answer

The work done by the force of friction on the block:


W=fdcos=(μFcosθ)d,W=0.3Fcos28°3=0.79F.W=fd\cos=(\mu F\cos\theta)d,\\ W=0.3·F\cos28°·3=0.79F.

Plug in F, the force that pushes the block, to get the answer.


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