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
2.8 kgk = 40 N/m

A 2.8 kg mass on a spring with stiffness 40 N/m oscillates on a frictionless surface. Find the frequency f.

m = 2.8 kgk = 40 N/m
f = Hz
2.Easy
1.5 kgk = 180 N/m

A 1.5 kg mass on a spring with stiffness 180 N/m oscillates on a frictionless surface. Find the frequency f.

m = 1.5 kgk = 180 N/m
f = Hz
3.Medium
L = 1.3 mT = 3.72 s

An astronaut on another planet finds that a simple pendulum 1.3 m long has a period of 3.72 s for small swings. Find the gravitational acceleration g on that planet.

L = 1.3 mT = 3.72 s
g = m/s²
4.Medium
4 kgk = 240 N/mA = 5 cmx = 3 cm

A 4 kg mass on a spring with k = 240 N/m oscillates on a frictionless surface with an amplitude of 5 cm. Find its speed v when it is 3 cm from equilibrium.

m = 4 kgk = 240 N/mA = 5 cmx = 3 cm
v = m/s
5.Hard
2.3 kgk = 340 N/mA = 13 cm

A 2.3 kg mass on a spring with k = 340 N/m is pulled 13 cm from equilibrium and released. Find its maximum acceleration amax.

m = 2.3 kgk = 340 N/mA = 13 cm
amax = m/s²
6.Hard
1 kgk = 150 N/mA = 12 cm

A 1 kg mass on a spring with k = 150 N/m is pulled 12 cm from equilibrium and released. Find its maximum acceleration amax.

m = 1 kgk = 150 N/mA = 12 cm
amax = m/s²

Answer key

  1. 1. f = 0.6015 Hz
  2. 2. f = 1.743 Hz
  3. 3. g = 3.709 m/s²
  4. 4. v = 0.3098 m/s
  5. 5. amax = 19.22 m/s²
  6. 6. amax = 18 m/s²

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