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

Energy, work and power — practice question

A train with mass $240\,000\,\text{kg}$ is moving up a slope that makes an angle of $4^\circ$ to the horizontal. A constant resistive force of magnitude $18\,000\,\text{N}$ acts on the train. At the moment when its speed is $15\,\text{m s}^{-1}$, the train’s deceleration is $0.2\,\text{m s}^{-2}$.
(main)[4]

Find the power of the engine for the train.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: Driving force written as $DF=\frac{P}{15}$ from $P=Fv$

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