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

Energy, work and power — practice question

A car with mass $1800\,\text{kg}$ is pulling a trailer of mass $400\,\text{kg}$ on a straight horizontal road. The car and trailer are joined by a light rigid tow-bar. The car has acceleration $1.5\,\text{m}\,\text{s}^{-2}$. Constant resistance forces act, with $250\,\text{N}$ on the car and $100\,\text{N}$ on the trailer.
(a)[2]

Calculate the tension in the tow-bar.

(b)[3]

Calculate the power of the car's engine at the instant when the speed is $20\,\text{m}\,\text{s}^{-1}$.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Newton’s second law gives $T - 100 = 400 \times 1.5$.

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