Physics 9702 · AS & A Level · Gravitational potential energy and kinetic energy

Gravitational potential energy and kinetic energy — practice question

(a)[2]

Distinguish, by comparison, between gravitational potential energy and elastic potential energy.

(b(i)(1))[2]

A ball with mass $65\,\text{g}$ is projected vertically upwards from ground level at a speed of $16\,\text{m s}^{-1}$. Air resistance is negligible. Calculate the initial kinetic energy.

(b(i)(2))[2]

Calculate the ball’s maximum height.

(b(ii))[3]

The ball takes time $t$ to reach maximum height. At time $\frac{t}{2}$ after the ball has been launched, calculate the ratio $$\frac{\text{potential energy of ball}}{\text{kinetic energy of ball}}.$$

(b(iii))[1]

State and explain how air resistance affects the time taken for the ball to reach maximum height.

Worked solution & mark scheme

This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: Gravitational potential energy is the energy of a mass because of its position in a gravitational field

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