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Find the work done by the engine of the train as it climbs the hill, and give your answer in $\text{kJ}$.
Mathematics 9709 · AS & A Level · Energy, work and power
Energy, work and power — practice question
A train with mass $180\,000\,\text{kg}$ climbs a straight hill of length $1.5\,\text{km}$, which is tilted at an angle of $1.5^\circ$ to the horizontal. During the climb, the total work needed to overcome the resistance to motion is $12\,000\,\text{kJ}$, and the train's speed drops from $45\,\text{m s}^{-1}$ to $40\,\text{m s}^{-1}$.
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This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Correct expression for the gain in potential energy, e.g. $180000g\times1500\sin1.5$” …
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