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

Energy, work and power — practice question

A particle with mass $7.5\,\text{kg}$ begins at rest at $A$ and moves down the inclined plane $AB$. Point $B$ lies $12.5$ metres vertically below the level of $A$, as shown in the diagram.
(a)[2]

Because the plane is smooth, apply an energy method to determine the particle’s speed at $B$.

(b)[3]

Instead, suppose the plane is rough and the particle arrives at $B$ with speed $8\,\text{m s}^{-1}$. The plane has length $25\,\text{m}$, and the constant frictional force has magnitude $F\,\text{N}$. Determine the value of $F$.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Energy expressions used: $KE=\tfrac12\times7.5v^2$ or $PE=7.5g\times12.5$

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