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

Energy, work and power — practice question

A lorry with mass $16000\,\text{kg}$ moves along a straight horizontal road. Its engine is operating at constant power. In $10\,\text{s}$, the work done by the driving force is $750000\,\text{J}$.
(a)[1]

Find the power output of the lorry’s engine.

(b)[3]

A constant resistance force of $2400\,\text{N}$ acts on the lorry. Find the acceleration of the lorry at the moment when its speed is $25\,\text{m}\,\text{s}^{-1}$.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: Power is obtained from $P = \frac{\text{work done}}{\text{time}}$, so $P = \frac{750000}{10} = 75000\,\text{W}$ or $75\,\text{kW}$

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