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

Energy, work and power — practice question

A crane lifts a load with mass $1250\,\text{kg}$ from rest on level ground to rest at a height of $1.54\,\text{m}$ above the ground. The work done in overcoming resistance to motion is $5750\,\text{J}$.
(i)[3]

Find the work done by the crane during the lift.

(ii)[2]

Find the time taken to raise the load, assuming the crane has a constant power output of $1.25\,\text{kW}$.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Increase in PE $= 1250g \times 1.54 = 19250\,\text{J}$

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