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

Energy, work and power — practice question

A crane is used to lift a block of mass $600\,\text{kg}$ straight up at constant speed through a height of $15\,\text{m}$. A resistive force acts on the block, and the crane does $10000\,\text{J}$ of work to overcome it.
(a)[2]

Find the total work done by the crane.

(b)[2]

If the crane exerts an average power of $12.5\,\text{kW}$, find the total time for which the block is in motion.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: Use $600g \times 15$ to attempt the change in gravitational potential energy.

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