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

Energy, work and power — practice question

A car with mass $1000\,\text{kg}$ is moving along a straight horizontal road. Its engine delivers constant power $P\,\text{kW}$. The resistive force on the car is $600\,\text{N}$. When the car’s speed is $25\,\text{m s}^{-1}$, its acceleration is $0.2\,\text{m s}^{-2}$.
(i)[4]

Calculate the value of $P$.

(ii)[3]

Find the steady speed at which the car is able to travel.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: The driving force is $=\dfrac{1000P}{25}$

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