Springs & pendulums worksheet with answers

Free printable Springs & pendulums worksheet: 6 problems from easy to exam level, with an answer key. Print it or save it as a PDF.

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1.Easy
3.6 kgk = 200 N/m

A 3.6 kg mass on a spring with stiffness 200 N/m oscillates on a frictionless surface. Find the period T.

m = 3.6 kgk = 200 N/m
T = s
2.Easy
3.6 kgk = 160 N/m

A 3.6 kg mass on a spring with stiffness 160 N/m oscillates on a frictionless surface. Find the frequency f.

m = 3.6 kgk = 160 N/m
f = Hz
3.Medium
L = ?

How long must a simple pendulum be to have a period of 2.2 s? Use g = 9.81 m/s². Find L.

T = 2.2 sg = 9.81 m/s²
L = m
4.Medium
L = ?

How long must a simple pendulum be to have a period of 2.9 s? Use g = 9.81 m/s². Find L.

T = 2.9 sg = 9.81 m/s²
L = m
5.Hard
mk = 210 N/mA = 14 cmx = 1 cm

A mass on a spring with k = 210 N/m oscillates on a frictionless surface with an amplitude of 14 cm. Find its kinetic energy K when it is 1 cm from equilibrium.

k = 210 N/mA = 14 cmx = 1 cm
K = J
6.Hard
3.3 kgk = 90 N/mA = 18 cm

A 3.3 kg mass on a spring with k = 90 N/m is pulled 18 cm from equilibrium and released. Find its maximum speed vmax.

m = 3.3 kgk = 90 N/mA = 18 cm
vmax = m/s

Answer key

  1. 1. T = 0.843 s
  2. 2. f = 1.061 Hz
  3. 3. L = 1.203 m
  4. 4. L = 2.09 m
  5. 5. K = 2.048 J
  6. 6. vmax = 0.94 m/s

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