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
1.4 kgk = 30 N/m

A 1.4 kg mass on a spring with stiffness 30 N/m oscillates on a frictionless surface. Find the period T.

m = 1.4 kgk = 30 N/m
T = s
2.Easy
0.8 kgk = ?

A 0.8 kg mass on a spring oscillates with a period of 1.15 s. Find the spring stiffness k.

m = 0.8 kgT = 1.15 s
k = N/m
3.Medium
L = 1.1 m

A simple pendulum has a length of 1.1 m. Use g = 9.81 m/s². Find its period T for small swings.

L = 1.1 mg = 9.81 m/s²
T = s
4.Medium
L = 1.4 m

A simple pendulum has a length of 1.4 m. Use g = 9.81 m/s². Find its period T for small swings.

L = 1.4 mg = 9.81 m/s²
T = s
5.Hard
3.5 kgk = 1000 N/m200 m/s

A 12 g bullet moving at 200 m/s hits and stays in a 3.5 kg block resting on a frictionless surface. The block is attached to a horizontal spring with k = 1000 N/m. Find the amplitude A of the resulting oscillation in cm.

m = 12 gv = 200 m/sM = 3.5 kgk = 1000 N/m
A = cm
6.Hard
2.6 kgk = 500 N/mA = 6 cm

A 2.6 kg mass on a spring with k = 500 N/m is pulled 6 cm from equilibrium and released. Find its maximum speed vmax.

m = 2.6 kgk = 500 N/mA = 6 cm
vmax = m/s

Answer key

  1. 1. T = 1.357 s
  2. 2. k = 23.88 N/m
  3. 3. T = 2.104 s
  4. 4. T = 2.374 s
  5. 5. A = 4.05 cm
  6. 6. vmax = 0.8321 m/s

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