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

Energy, work and power — practice question

The diagram presents the vertical cross-section $ABC$ of a rough waterslide. Segment $AB$ is a straight line of length $5\,\text{m}$, making an angle $\theta$ with the horizontal, where $\sin\theta = 0.8$. Point $B$ is $2.5\,\text{m}$ above the level of $C$. A man of mass $80\,\text{kg}$, treated as a particle, slides down the waterslide from rest at $A$. The coefficient of friction between the man and the straight part of the waterslide is $0.1$.
(a)[5]

Find the man's speed at $B$.

(b)[4]

Find the work done against the resistance force while the man travels from $B$ to $C$.

Worked solution & mark scheme

This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: Normal reaction is $R=80g\times0.6$

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