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

Gravitational potential energy and kinetic energy — practice question

(a)[2]

Explain the meaning of gravitational potential energy and kinetic energy.

(b)

A ball with mass $400\,\text{g}$ is projected with an initial velocity of $30.0\,\text{m s}^{-1}$ at an angle of $45.0^\circ$ above the horizontal, as shown in Fig. 4.1. Air resistance is ignored. The ball reaches its greatest height $H$ after $2.16\,\text{s}$.

(b(i).1)[3]

Calculate the initial kinetic energy of the ball.

(b(i).2)[2]

Calculate the maximum height $H$ reached by the ball.

(b(i).3)[2]

Calculate the gravitational potential energy of the ball at height $H$.

(b(ii).1)[1]

Determine the kinetic energy of the ball at its maximum height.

(b(ii).2)[1]

Explain why the kinetic energy of the ball is not zero at maximum height.

Worked solution & mark scheme

This 11-mark question has a full step-by-step worked solution and mark scheme. One marking point: GPE is the energy associated with a mass’s position in a gravitational field

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