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
0.3 kgk = ?

A 0.3 kg mass on a spring oscillates with a period of 0.65 s. Find the spring stiffness k.

m = 0.3 kgT = 0.65 s
k = N/m
2.Easy
0.3 kgk = 30 N/m

A 0.3 kg mass on a spring with stiffness 30 N/m oscillates on a frictionless surface. Find the frequency f.

m = 0.3 kgk = 30 N/m
f = Hz
3.Medium
2.6 kgk = 70 N/mA = 9 cmx = 6 cm

A 2.6 kg mass on a spring with k = 70 N/m oscillates on a frictionless surface with an amplitude of 9 cm. Find its speed v when it is 6 cm from equilibrium.

m = 2.6 kgk = 70 N/mA = 9 cmx = 6 cm
v = m/s
4.Medium
L = 0.6 mT = 2.53 s

An astronaut on another planet finds that a simple pendulum 0.6 m long has a period of 2.53 s for small swings. Find the gravitational acceleration g on that planet.

L = 0.6 mT = 2.53 s
g = m/s²
5.Hard
2.2 kgk = 110 N/mA = 8 cm

A 2.2 kg mass on a spring with k = 110 N/m is pulled 8 cm from equilibrium and released. Find the total energy E of the oscillation.

m = 2.2 kgk = 110 N/mA = 8 cm
E = J
6.Hard
mk = 340 N/mA = 16 cmx = 6 cm

A mass on a spring with k = 340 N/m oscillates on a frictionless surface with an amplitude of 16 cm. Find the energy U stored in the spring when the mass is 6 cm from equilibrium.

k = 340 N/mA = 16 cmx = 6 cm
U = J

Answer key

  1. 1. k = 28.03 N/m
  2. 2. f = 1.592 Hz
  3. 3. v = 0.3481 m/s
  4. 4. g = 3.701 m/s²
  5. 5. E = 0.352 J
  6. 6. U = 0.612 J

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