HL Physics
Homework questions on the defining equation of s.h.m and energy changes in s.h.m
May 2023
1. A mass is oscillating between two springs with a frequency of 1.5Hz and amplitude of
3.7cm. It has a speed of 34cms−1 as it passes through its equilibrium position and a timer
is started. What are its displacement and velocity 1.8s later?
2. An object of mass 45g undergoes SHM with a frequency of 12Hz and an amplitude of
3.1mm.
a What is its maximum speed and kinetic energy?
b What is the object’s displacement 120 ms after it is released from its maximum
displacement?
3. A mass is oscillating with SHM and has an amplitude of 3.84cm. Its displacement is
2.76cm at 0.0217s after it is released from its maximum displacement. Calculate a
possible value for its frequency.
4. A 435g mass is oscillating horizontally between two springs with a frequency of
0.849Hz. If its total energy is 4.28J, what are its amplitude and its maximum speed?
5. An oscillator of mass 786g has a total energy of 2.4J.
a Calculate its period if it is moving with an amplitude of 23cm.
b What is its speed when it has a displacement of 10cm?