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
4.4 kgk = ?

A 4.4 kg mass on a spring oscillates with a period of 0.55 s. Find the spring stiffness k.

m = 4.4 kgT = 0.55 s
k = N/m
2.Easy
3.7 kgk = 270 N/m

A 3.7 kg mass on a spring with stiffness 270 N/m oscillates on a frictionless surface. Find the period T.

m = 3.7 kgk = 270 N/m
T = s
3.Medium
4 kgk = 480 N/mA = 10 cmx = 2 cm

A 4 kg mass on a spring with k = 480 N/m oscillates on a frictionless surface with an amplitude of 10 cm. Find its speed v when it is 2 cm from equilibrium.

m = 4 kgk = 480 N/mA = 10 cmx = 2 cm
v = m/s
4.Medium
L = 0.5 mT = 0.89 s

An astronaut on another planet finds that a simple pendulum 0.5 m long has a period of 0.89 s for small swings. Find the gravitational acceleration g on that planet.

L = 0.5 mT = 0.89 s
g = m/s²
5.Hard
2 kgk = 160 N/mA = 15 cm

A 2 kg mass on a spring with k = 160 N/m is pulled 15 cm from equilibrium and released. Find the total energy E of the oscillation.

m = 2 kgk = 160 N/mA = 15 cm
E = J
6.Hard
2.5 kgk = 1400 N/m450 m/s

A 5 g bullet moving at 450 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 = 1400 N/m. Find the amplitude A of the resulting oscillation in cm.

m = 5 gv = 450 m/sM = 2.5 kgk = 1400 N/m
A = cm

Answer key

  1. 1. k = 574.2 N/m
  2. 2. T = 0.7355 s
  3. 3. v = 1.073 m/s
  4. 4. g = 24.92 m/s²
  5. 5. E = 1.8 J
  6. 6. A = 3.799 cm

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