Physics 9702 · AS & A Level · Momentum and Newton's laws of motion

Momentum and Newton's laws of motion — practice question

(a)[1]

Define power in words.

(b(i))[3]

Fig. 3.1 shows a car moving at a speed of $22\text{ m s}^{-1}$ along a horizontal road. The car has a mass of $1500\text{ kg}$. A resistive force of $1200\text{ N}$ acts on the car. Calculate the force $F$ needed from the car to give an acceleration of $0.82\text{ m s}^{-2}$.

(b(ii))[2]

Calculate the power needed to cause this acceleration.

(c)[1]

The resistive force on the car is proportional to $v^2$, where $v$ is the car’s speed. Suggest why the car has a maximum speed.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: Power is the work done per unit time, or the rate of doing work

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