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
1.9 kgk = 290 N/m

A 1.9 kg mass on a spring with stiffness 290 N/m oscillates on a frictionless surface. Find the frequency f.

m = 1.9 kgk = 290 N/m
f = Hz
2.Easy
1.8 kgk = ?5.5 cm

Hanging a 1.8 kg mass on a spring stretches it by 5.5 cm. Use g = 9.81 m/s². Find the stiffness k of the spring.

m = 1.8 kgx = 5.5 cmg = 9.81 m/s²
k = N/m
3.Medium
L = ?

How long must a simple pendulum be to have a period of 1.7 s? Use g = 9.81 m/s². Find L.

T = 1.7 sg = 9.81 m/s²
L = m
4.Medium
L = 1.6 m

A simple pendulum has a length of 1.6 m. Use g = 9.81 m/s². Find its period T for small swings.

L = 1.6 mg = 9.81 m/s²
T = s
5.Hard
mk = 280 N/mA = 17 cmx = 6 cm

A mass on a spring with k = 280 N/m oscillates on a frictionless surface with an amplitude of 17 cm. Find the energy U stored in the spring when the mass is 6 cm from equilibrium.

k = 280 N/mA = 17 cmx = 6 cm
U = J
6.Hard
2.2 kgk = 150 N/mA = 20 cm

A 2.2 kg mass on a spring with k = 150 N/m is pulled 20 cm from equilibrium and released. Find the total energy E of the oscillation.

m = 2.2 kgk = 150 N/mA = 20 cm
E = J

Answer key

  1. 1. f = 1.966 Hz
  2. 2. k = 321.1 N/m
  3. 3. L = 0.7181 m
  4. 4. T = 2.537 s
  5. 5. U = 0.504 J
  6. 6. E = 3 J

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