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 kgk = 10 N/m

A 1 kg mass on a spring with stiffness 10 N/m oscillates on a frictionless surface. Find the frequency f.

m = 1 kgk = 10 N/m
f = Hz
2.Easy
0.7 kgk = ?

A 0.7 kg mass on a spring oscillates with a period of 1.55 s. Find the spring stiffness k.

m = 0.7 kgT = 1.55 s
k = N/m
3.Medium
1 kgk = 410 N/mA = 19 cmx = 11 cm

A 1 kg mass on a spring with k = 410 N/m oscillates on a frictionless surface with an amplitude of 19 cm. Find its speed v when it is 11 cm from equilibrium.

m = 1 kgk = 410 N/mA = 19 cmx = 11 cm
v = m/s
4.Medium
L = ?

How long must a simple pendulum be to have a period of 2.2 s? Use g = 9.81 m/s². Find L.

T = 2.2 sg = 9.81 m/s²
L = m
5.Hard
0.8 kgk = 430 N/mA = 11 cm

A 0.8 kg mass on a spring with k = 430 N/m is pulled 11 cm from equilibrium and released. Find its maximum acceleration amax.

m = 0.8 kgk = 430 N/mA = 11 cm
amax = m/s²
6.Hard
3.5 kgk = 120 N/mA = 5 cm

A 3.5 kg mass on a spring with k = 120 N/m is pulled 5 cm from equilibrium and released. Find the total energy E of the oscillation.

m = 3.5 kgk = 120 N/mA = 5 cm
E = J

Answer key

  1. 1. f = 0.5033 Hz
  2. 2. k = 11.5 N/m
  3. 3. v = 3.137 m/s
  4. 4. L = 1.203 m
  5. 5. amax = 59.13 m/s²
  6. 6. E = 0.15 J

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