Physics 9702 · AS & A Level · Energy conservation

Energy conservation — practice question

(a)[1]

Explain what the term work done means.

(b)[2]

A car is moving along a road with a constant downhill gradient, as shown in Fig. 2.1. The car’s total mass is $850\,\text{kg}$. The road makes an angle of $7.5^\circ$ to the horizontal. Calculate the component of the weight of the car down the slope.

(c(i))[2]

The car in (b) is moving at a constant speed of $25\,\text{m s}^{-1}$. The driver then brakes to stop the car. The constant force resisting the motion of the car is $4600\,\text{N}$. Show that the deceleration of the car with the brakes applied is $4.1\,\text{m s}^{-2}$.

(c(ii))[2]

Calculate the distance the car covers from the moment the brakes are applied until it is at rest.

(c(iii).1)[2]

Calculate the decrease in the car’s kinetic energy.

(c(iii).2)[1]

Calculate the work done by a resisting force of $4600\,\text{N}$.

(c(iv))[1]

The quantities in (iii) part 1 and in (iii) part 2 are not equal. Explain why these two quantities are not equal.

(c(iii)1)[2]

Calculate the loss of kinetic energy of the car.

(c(iii)2)[1]

Calculate the work done by a resisting force of $4600\,\text{N}$.

Worked solution & mark scheme

This 14-mark question has a full step-by-step worked solution and mark scheme. One marking point: work done equals force multiplied by the distance moved in the direction of the force

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