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

Energy, work and power — practice question

A car with mass $1800\,\text{kg}$ is moving along a straight horizontal road. The car’s engine delivers constant power. A steady resistive force of $650\,\text{N}$ acts against the motion.
(a)[3]

Determine the power of the car’s engine, knowing that its acceleration is $0.5\,\text{m s}^{-2}$ when its speed is $20\,\text{m s}^{-1}$.

(b)[2]

Determine the steady speed that the car can keep when the engine is operating at this power.

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, so $DF - 650 = 1800 \times 0.5$

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