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
2.7 kgk = 170 N/m

A 2.7 kg mass on a spring with stiffness 170 N/m oscillates on a frictionless surface. Find the period T.

m = 2.7 kgk = 170 N/m
T = s
2.Easy
4.4 kgk = 400 N/m

A 4.4 kg mass on a spring with stiffness 400 N/m oscillates on a frictionless surface. Find the frequency f.

m = 4.4 kgk = 400 N/m
f = Hz
3.Medium
0.8 kgk = 310 N/mA = 7 cmx = 5 cm

A 0.8 kg mass on a spring with k = 310 N/m oscillates on a frictionless surface with an amplitude of 7 cm. Find its speed v when it is 5 cm from equilibrium.

m = 0.8 kgk = 310 N/mA = 7 cmx = 5 cm
v = m/s
4.Medium
L = ?

How long must a simple pendulum be to have a period of 2.4 s? Use g = 9.81 m/s². Find L.

T = 2.4 sg = 9.81 m/s²
L = m
5.Hard
2.5 kgk = 1100 N/m200 m/s

A 20 g bullet moving at 200 m/s hits and stays in a 2.5 kg block resting on a frictionless surface. The block is attached to a horizontal spring with k = 1100 N/m. Find the amplitude A of the resulting oscillation in cm.

m = 20 gv = 200 m/sM = 2.5 kgk = 1100 N/m
A = cm
6.Hard
0.5 kgk = 500 N/m100 m/s

A 15 g bullet moving at 100 m/s hits and stays in a 0.5 kg block resting on a frictionless surface. The block is attached to a horizontal spring with k = 500 N/m. Find the amplitude A of the resulting oscillation in cm.

m = 15 gv = 100 m/sM = 0.5 kgk = 500 N/m
A = cm

Answer key

  1. 1. T = 0.7918 s
  2. 2. f = 1.517 Hz
  3. 3. v = 0.9644 m/s
  4. 4. L = 1.431 m
  5. 5. A = 7.597 cm
  6. 6. A = 9.348 cm

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