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

Energy, work and power — practice question

A lorry with mass $15\,000\,\text{kg}$ travels up a hill that is $500\,\text{m}$ long at constant speed. The slope is at an angle of $2.5^\circ$ to the horizontal. The resistance to the lorry’s motion stays constant at $800\,\text{N}$. On the way back, the lorry arrives at the top of the hill with speed $20\,\text{m s}^{-1}$ and moves downhill with a constant driving force of $2000\,\text{N}$. The resistance to the lorry’s motion is again constant at $800\,\text{N}$.
(a(i))[4]

Find the work done by the lorry’s driving force.

(a(ii))[5]

Find the lorry’s speed when it reaches the bottom of the hill.

Worked solution & mark scheme

This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: Gain in potential energy obtained as $15000g \times 500 \sin2.5^\circ$

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