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 = ?

A 2.9 kg mass on a spring makes 10 complete oscillations in 28 s. Find the spring stiffness k.

m = 2.9 kgN = 10t = 28 s
k = N/m
2.Easy
1.2 kgk = ?

A 1.2 kg mass on a spring oscillates with a period of 0.35 s. Find the spring stiffness k.

m = 1.2 kgT = 0.35 s
k = N/m
3.Medium
L = ?

How long must a simple pendulum be to have a period of 0.9 s? Use g = 9.81 m/s². Find L.

T = 0.9 sg = 9.81 m/s²
L = m
4.Medium
L = ?

How long must a simple pendulum be to have a period of 1.6 s? Use g = 9.81 m/s². Find L.

T = 1.6 sg = 9.81 m/s²
L = m
5.Hard
0.2 kgk = 500 N/mA = 18 cm

A 0.2 kg mass on a spring with k = 500 N/m is pulled 18 cm from equilibrium and released. Find the total energy E of the oscillation.

m = 0.2 kgk = 500 N/mA = 18 cm
E = J
6.Hard
1.5 kgk = 1000 N/m150 m/s

A 15 g bullet moving at 150 m/s hits and stays in a 1.5 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 = 15 gv = 150 m/sM = 1.5 kgk = 1000 N/m
A = cm

Answer key

  1. 1. k = 14.6 N/m
  2. 2. k = 386.7 N/m
  3. 3. L = 0.2013 m
  4. 4. L = 0.6361 m
  5. 5. E = 8.1 J
  6. 6. A = 5.781 cm

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