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

Energy, work and power — practice question

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A car with mass $1250\text{ kg}$ moves up a straight hill at an angle $\alpha$ to the horizontal, where $\sin \alpha = 0.02$. The engine supplies $23\text{ kW}$. The resistance to motion is constant and equals $600\text{ N}$. Find the car’s speed at the moment when its acceleration is $0.5\text{ m s}^{-2}$.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Use Newton’s second law to write $DF - 600 - 1250\times 0.02g = 1250 \times 0.5$

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