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
1.8 kgk = 150 N/m

A 1.8 kg mass on a spring with stiffness 150 N/m oscillates on a frictionless surface. Find the period T.

m = 1.8 kgk = 150 N/m
T = s
2.Easy
1.6 kgk = 390 N/m

A 1.6 kg mass on a spring with stiffness 390 N/m oscillates on a frictionless surface. Find the period T.

m = 1.6 kgk = 390 N/m
T = s
3.Medium
3.5 kgk = 350 N/mA = 7 cmx = 6 cm

A 3.5 kg mass on a spring with k = 350 N/m oscillates on a frictionless surface with an amplitude of 7 cm. Find its speed v when it is 6 cm from equilibrium.

m = 3.5 kgk = 350 N/mA = 7 cmx = 6 cm
v = m/s
4.Medium
L = ?

How long must a simple pendulum be to have a period of 1.6 s? Use g = 9.81 m/s². Find L.

T = 1.6 sg = 9.81 m/s²
L = m
5.Hard
3.5 kgk = 500 N/mA = 20 cm

A 3.5 kg mass on a spring with k = 500 N/m is pulled 20 cm from equilibrium and released. Find its maximum speed vmax.

m = 3.5 kgk = 500 N/mA = 20 cm
vmax = m/s
6.Hard
t (s)x (cm)t = ?3

A body oscillates in simple harmonic motion with period 2.7 s and amplitude 12 cm. What is the shortest time t it needs to move from its maximum displacement of 12 cm to a displacement of 3 cm?

T = 2.7 sA = 12 cmx = 3 cm
t = s

Answer key

  1. 1. T = 0.6883 s
  2. 2. T = 0.4024 s
  3. 3. v = 0.3606 m/s
  4. 4. L = 0.6361 m
  5. 5. vmax = 2.39 m/s
  6. 6. t = 0.5664 s

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