Physics 9702 · AS & A Level · Energy in simple harmonic motion
Energy in simple harmonic motion — practice question
A cuboid-shaped block floats in a liquid with its base kept horizontal, as shown in Fig. 5.1. The base of the block lies at a depth $h$ beneath the liquid surface. The block is pushed down a small distance and then released, so it oscillates. Fig. 5.2 shows how the acceleration $a$ of the block varies with $h$. Fig. 5.3 shows how the kinetic energy $E_{K}$ of the block varies with $h$.
(a(i))[1]
Determine the amplitude of the oscillatory motion.
(a(ii))[1]
State what Fig. 5.2’s line indicates about the oscillation type.
(b)[3]
State three further quantitative conclusions that can be obtained from Fig. 5.2 and Fig. 5.3 about the block and its oscillations. Use the space for any working.
(c)[3]
On Fig. 5.4, sketch how the potential energy $E_P$ of the oscillations varies with $h$.
Worked solution & mark scheme
This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: “the amplitude is $0.60\,\text{m}$” …