Mathematics 9709 · AS & A Level · Energy, work and power

Energy, work and power — practice question

A block with mass $4\text{ kg}$ is drawn across a rough horizontal road by a constant force of magnitude $25\text{ N}$ acting at an angle of $36^\circ$ above the horizontal. The block travels in a straight line through two points $A$ and $B$ on the road, with $AB = 120\text{ m}$. The coefficient of friction between the block and the road is $0.4$. The speed of the block at $A$ is $7\text{ m s}^{-1}$.
(a)[3]

Calculate the work done against friction as the block travels from $A$ to $B$.

(b)[4]

Use an energy method to determine the speed of the block at $B$.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: Vertical resolution gives: $R+25\sin36=4g$

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