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.

New worksheetPractise online with hints

For teachers: free to print, copy and use in class. Every new worksheet has new values and its own answer key. A link to ExamProblems on your course page is appreciated.

Name: ____________________   Date: ____________

1.Easy
0.2 kgk = 360 N/m

A 0.2 kg mass on a spring with stiffness 360 N/m oscillates on a frictionless surface. Find the frequency f.

m = 0.2 kgk = 360 N/m
f = Hz
2.Easy
0.4 kgk

A 0.4 kg mass on a spring makes 25 complete oscillations in 14 s. Find the frequency f of the oscillation.

m = 0.4 kgN = 25t = 14 s
f = Hz
3.Medium
0.3 kgk = 180 N/mA = 14 cmx = 3 cm

A 0.3 kg mass on a spring with k = 180 N/m oscillates on a frictionless surface with an amplitude of 14 cm. Find its speed v when it is 3 cm from equilibrium.

m = 0.3 kgk = 180 N/mA = 14 cmx = 3 cm
v = m/s
4.Medium
3.3 kgk = 280 N/mA = 11 cmx = 6 cm

A 3.3 kg mass on a spring with k = 280 N/m oscillates on a frictionless surface with an amplitude of 11 cm. Find its speed v when it is 6 cm from equilibrium.

m = 3.3 kgk = 280 N/mA = 11 cmx = 6 cm
v = m/s
5.Hard
0.8 kgk = 280 N/m

A 0.8 kg mass is attached to the lower end of an unstretched vertical spring with k = 280 N/m and released from rest. Use g = 9.81 m/s². Find the greatest extension xmax of the spring in cm.

m = 0.8 kgk = 280 N/mg = 9.81 m/s²
xmax = cm
6.Hard
3.1 kgk = 20 N/mA = 6 cm

A 3.1 kg mass on a spring with k = 20 N/m is pulled 6 cm from equilibrium and released. Find its maximum acceleration amax.

m = 3.1 kgk = 20 N/mA = 6 cm
amax = m/s²

Answer key

  1. 1. f = 6.752 Hz
  2. 2. f = 1.786 Hz
  3. 3. v = 3.35 m/s
  4. 4. v = 0.8492 m/s
  5. 5. xmax = 5.606 cm
  6. 6. amax = 0.3871 m/s²

Full step-by-step solutions: practise this topic on examproblems.com.