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
2.9 kgk = 350 N/m

A 2.9 kg mass on a spring with stiffness 350 N/m oscillates on a frictionless surface. Find the period T.

m = 2.9 kgk = 350 N/m
T = s
2.Easy
3 kgk = 130 N/m

A 3 kg mass on a spring with stiffness 130 N/m oscillates on a frictionless surface. Find the period T.

m = 3 kgk = 130 N/m
T = s
3.Medium
L = 2 mT = 2.98 s

An astronaut on another planet finds that a simple pendulum 2 m long has a period of 2.98 s for small swings. Find the gravitational acceleration g on that planet.

L = 2 mT = 2.98 s
g = m/s²
4.Medium
L = 0.9 m

A simple pendulum has a length of 0.9 m. Use g = 9.81 m/s². Find its period T for small swings.

L = 0.9 mg = 9.81 m/s²
T = s
5.Hard
1.6 kgk = 440 N/m

A 1.6 kg mass is attached to the lower end of an unstretched vertical spring with k = 440 N/m and released from rest. Use g = 9.81 m/s². Find the greatest extension xmax of the spring in cm.

m = 1.6 kgk = 440 N/mg = 9.81 m/s²
xmax = cm
6.Hard
1.9 kgk = 420 N/m

A 1.9 kg mass is attached to the lower end of an unstretched vertical spring with k = 420 N/m and released from rest. Use g = 9.81 m/s². Find the greatest extension xmax of the spring in cm.

m = 1.9 kgk = 420 N/mg = 9.81 m/s²
xmax = cm

Answer key

  1. 1. T = 0.5719 s
  2. 2. T = 0.9545 s
  3. 3. g = 8.891 m/s²
  4. 4. T = 1.903 s
  5. 5. xmax = 7.135 cm
  6. 6. xmax = 8.876 cm

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