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
0.5 kgk = ?

A 0.5 kg mass on a spring oscillates with a period of 2.4 s. Find the spring stiffness k.

m = 0.5 kgT = 2.4 s
k = N/m
2.Easy
2.8 kgk = 340 N/m

A 2.8 kg mass on a spring with stiffness 340 N/m oscillates on a frictionless surface. Find the period T.

m = 2.8 kgk = 340 N/m
T = s
3.Medium
L = 1.6 mT = 4.13 s

An astronaut on another planet finds that a simple pendulum 1.6 m long has a period of 4.13 s for small swings. Find the gravitational acceleration g on that planet.

L = 1.6 mT = 4.13 s
g = m/s²
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
4 kgk = 350 N/mA = 14 cm

A 4 kg mass on a spring with k = 350 N/m is pulled 14 cm from equilibrium and released. Find its maximum acceleration amax.

m = 4 kgk = 350 N/mA = 14 cm
amax = m/s²
6.Hard
mk = 390 N/mA = 10 cmx = 2 cm

A mass on a spring with k = 390 N/m oscillates on a frictionless surface with an amplitude of 10 cm. Find the energy U stored in the spring when the mass is 2 cm from equilibrium.

k = 390 N/mA = 10 cmx = 2 cm
U = J

Answer key

  1. 1. k = 3.427 N/m
  2. 2. T = 0.5702 s
  3. 3. g = 3.703 m/s²
  4. 4. T = 3.042 s
  5. 5. amax = 12.25 m/s²
  6. 6. U = 0.078 J

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