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
5 kgk = 360 N/m

A 5 kg mass on a spring with stiffness 360 N/m oscillates on a frictionless surface. Find the frequency f.

m = 5 kgk = 360 N/m
f = Hz
2.Easy
0.3 kgk = 240 N/m

A 0.3 kg mass on a spring with stiffness 240 N/m oscillates on a frictionless surface. Find the period T.

m = 0.3 kgk = 240 N/m
T = s
3.Medium
3.8 kgk = 440 N/mA = 18 cmx = 9 cm

A 3.8 kg mass on a spring with k = 440 N/m oscillates on a frictionless surface with an amplitude of 18 cm. Find its speed v when it is 9 cm from equilibrium.

m = 3.8 kgk = 440 N/mA = 18 cmx = 9 cm
v = m/s
4.Medium
3.3 kgk = 360 N/mA = 20 cmx = 3 cm

A 3.3 kg mass on a spring with k = 360 N/m oscillates on a frictionless surface with an amplitude of 20 cm. Find its speed v when it is 3 cm from equilibrium.

m = 3.3 kgk = 360 N/mA = 20 cmx = 3 cm
v = m/s
5.Hard
mk = 490 N/mA = 11 cmx = 7 cm

A mass on a spring with k = 490 N/m oscillates on a frictionless surface with an amplitude of 11 cm. Find its kinetic energy K when it is 7 cm from equilibrium.

k = 490 N/mA = 11 cmx = 7 cm
K = J
6.Hard
mk = 80 N/mA = 15 cmx = 9 cm

A mass on a spring with k = 80 N/m oscillates on a frictionless surface with an amplitude of 15 cm. Find its kinetic energy K when it is 9 cm from equilibrium.

k = 80 N/mA = 15 cmx = 9 cm
K = J

Answer key

  1. 1. f = 1.35 Hz
  2. 2. T = 0.2221 s
  3. 3. v = 1.677 m/s
  4. 4. v = 2.065 m/s
  5. 5. K = 1.764 J
  6. 6. K = 0.576 J

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