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

Energy, work and power — practice question

A van with mass $2500\,\text{kg}$ moves down a hill of length $0.4\,\text{km}$ that is inclined at $4^\circ$ to the horizontal. A constant resistive force of $600\,\text{N}$ acts, and the van’s speed rises from $20\,\text{m s}^{-1}$ to $30\,\text{m s}^{-1}$ during the descent.
(main)[5]

Calculate the work done by the van’s engine during its descent.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: An attempt to find the gain in KE and loss in PE: $\tfrac12\times2500(30^2-20^2)$ and $2500g\times400\sin4$

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