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

Energy, work and power — practice question

A car with mass $600\text{ kg}$ is moving on a straight, level road. The resistive force opposing the car’s motion remains constant at $R\text{ N}$.
(i)[4]

Determine the value of $R$, given that the car has acceleration $1.4\,\text{m s}^{-2}$ at a moment when its speed is $18\,\text{m s}^{-1}$ and the engine is operating at $22.5\,\text{kW}$.

(ii)[1]

State the rate of working of the car’s engine when the car is travelling with constant speed $15\,\text{m s}^{-1}$.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Employ $DF = \frac{22500}{18}$

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