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

Energy, work and power — practice question

A lorry with mass $16000\,\text{kg}$ travels along a straight hillside that makes an angle $\alpha^{\circ}$ with the horizontal. The slope has length $500\,\text{m}$.
(i)[4]

As the lorry travels from the foot to the top of the hill at constant speed, the resisting force on it is $800\,\text{N}$ and the work done by the driving force is $2800\,\text{kJ}$. Find $\alpha$.

(ii)[4]

During the return trip the lorry has speed $20\,\text{m s}^{-1}$ at the top of the hill. As it moves downhill, the work done by the driving force is $2400\,\text{kJ}$ and the work done against the resistance to motion is $800\,\text{kJ}$. Find the speed of the lorry at the bottom of the hill.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: Calculate the work against resistance using $800 \times 500$.

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