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
0.9 kgk = 310 N/m

A 0.9 kg mass on a spring with stiffness 310 N/m oscillates on a frictionless surface. Find the period T.

m = 0.9 kgk = 310 N/m
T = s
2.Easy
0.7 kgk = 340 N/m

A 0.7 kg mass on a spring with stiffness 340 N/m oscillates on a frictionless surface. Find the frequency f.

m = 0.7 kgk = 340 N/m
f = Hz
3.Medium
L = 0.7 m

A simple pendulum has a length of 0.7 m. Use g = 9.81 m/s². Find its period T for small swings.

L = 0.7 mg = 9.81 m/s²
T = s
4.Medium
L = 2.3 m

A simple pendulum has a length of 2.3 m. Use g = 9.81 m/s². Find its period T for small swings.

L = 2.3 mg = 9.81 m/s²
T = s
5.Hard
3 kgk = 500 N/mA = 3 cm

A 3 kg mass on a spring with k = 500 N/m is pulled 3 cm from equilibrium and released. Find the total energy E of the oscillation.

m = 3 kgk = 500 N/mA = 3 cm
E = J
6.Hard
0.9 kgk = 40 N/mA = 5 cm

A 0.9 kg mass on a spring with k = 40 N/m is pulled 5 cm from equilibrium and released. Find the total energy E of the oscillation.

m = 0.9 kgk = 40 N/mA = 5 cm
E = J

Answer key

  1. 1. T = 0.3385 s
  2. 2. f = 3.508 Hz
  3. 3. T = 1.678 s
  4. 4. T = 3.042 s
  5. 5. E = 0.225 J
  6. 6. E = 0.05 J

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