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
0.9 kgk = 350 N/m

A 0.9 kg mass on a spring with stiffness 350 N/m oscillates on a frictionless surface. Find the period T.

m = 0.9 kgk = 350 N/m
T = s
2.Easy
1.8 kgk

A 1.8 kg mass on a spring makes 20 complete oscillations in 11 s. Find the frequency f of the oscillation.

m = 1.8 kgN = 20t = 11 s
f = Hz
3.Medium
L = ?

How long must a simple pendulum be to have a period of 1.3 s? Use g = 9.81 m/s². Find L.

T = 1.3 sg = 9.81 m/s²
L = m
4.Medium
L = ?

How long must a simple pendulum be to have a period of 0.8 s? Use g = 9.81 m/s². Find L.

T = 0.8 sg = 9.81 m/s²
L = m
5.Hard
mk = 190 N/mA = 7 cmx = 4 cm

A mass on a spring with k = 190 N/m oscillates on a frictionless surface with an amplitude of 7 cm. Find its kinetic energy K when it is 4 cm from equilibrium.

k = 190 N/mA = 7 cmx = 4 cm
K = J
6.Hard
1.8 kgk = 220 N/mA = 3 cm

A 1.8 kg mass on a spring with k = 220 N/m is pulled 3 cm from equilibrium and released. Find its maximum speed vmax.

m = 1.8 kgk = 220 N/mA = 3 cm
vmax = m/s

Answer key

  1. 1. T = 0.3186 s
  2. 2. f = 1.818 Hz
  3. 3. L = 0.4199 m
  4. 4. L = 0.159 m
  5. 5. K = 0.3135 J
  6. 6. vmax = 0.3317 m/s

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