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
1.4 kgk = ?

A 1.4 kg mass on a spring oscillates with a period of 1.45 s. Find the spring stiffness k.

m = 1.4 kgT = 1.45 s
k = N/m
2.Easy
3 kgk = ?10 cm

Hanging a 3 kg mass on a spring stretches it by 10 cm. Use g = 9.81 m/s². Find the stiffness k of the spring.

m = 3 kgx = 10 cmg = 9.81 m/s²
k = N/m
3.Medium
L = 1.8 mT = 6.62 s

An astronaut on another planet finds that a simple pendulum 1.8 m long has a period of 6.62 s for small swings. Find the gravitational acceleration g on that planet.

L = 1.8 mT = 6.62 s
g = m/s²
4.Medium
L = 1.9 mT = 1.74 s

An astronaut on another planet finds that a simple pendulum 1.9 m long has a period of 1.74 s for small swings. Find the gravitational acceleration g on that planet.

L = 1.9 mT = 1.74 s
g = m/s²
5.Hard
3.3 kgk = 20 N/mA = 18 cm

A 3.3 kg mass on a spring with k = 20 N/m is pulled 18 cm from equilibrium and released. Find the total energy E of the oscillation.

m = 3.3 kgk = 20 N/mA = 18 cm
E = J
6.Hard
2.1 kgk = 280 N/mA = 5 cm

A 2.1 kg mass on a spring with k = 280 N/m is pulled 5 cm from equilibrium and released. Find its maximum acceleration amax.

m = 2.1 kgk = 280 N/mA = 5 cm
amax = m/s²

Answer key

  1. 1. k = 26.29 N/m
  2. 2. k = 294.3 N/m
  3. 3. g = 1.621 m/s²
  4. 4. g = 24.78 m/s²
  5. 5. E = 0.324 J
  6. 6. amax = 6.667 m/s²

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