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
0.3 kgk = 20 N/m

A 0.3 kg mass on a spring with stiffness 20 N/m oscillates on a frictionless surface. Find the frequency f.

m = 0.3 kgk = 20 N/m
f = Hz
2.Easy
4.7 kgk = 300 N/m

A 4.7 kg mass on a spring with stiffness 300 N/m oscillates on a frictionless surface. Find the period T.

m = 4.7 kgk = 300 N/m
T = s
3.Medium
3.1 kgk = 460 N/mA = 6 cmx = 5 cm

A 3.1 kg mass on a spring with k = 460 N/m oscillates on a frictionless surface with an amplitude of 6 cm. Find its speed v when it is 5 cm from equilibrium.

m = 3.1 kgk = 460 N/mA = 6 cmx = 5 cm
v = m/s
4.Medium
2.8 kgk = 240 N/mA = 7 cmx = 4 cm

A 2.8 kg mass on a spring with k = 240 N/m oscillates on a frictionless surface with an amplitude of 7 cm. Find its speed v when it is 4 cm from equilibrium.

m = 2.8 kgk = 240 N/mA = 7 cmx = 4 cm
v = m/s
5.Hard
1.5 kgk = 1900 N/m250 m/s

A 10 g bullet moving at 250 m/s hits and stays in a 1.5 kg block resting on a frictionless surface. The block is attached to a horizontal spring with k = 1900 N/m. Find the amplitude A of the resulting oscillation in cm.

m = 10 gv = 250 m/sM = 1.5 kgk = 1900 N/m
A = cm
6.Hard
t (s)x (cm)t = ?3

A body oscillates in simple harmonic motion with period 1.2 s and amplitude 6 cm. What is the shortest time t it needs to move from equilibrium to a displacement of 3 cm?

T = 1.2 sA = 6 cmx = 3 cm
t = s

Answer key

  1. 1. f = 1.299 Hz
  2. 2. T = 0.7864 s
  3. 3. v = 0.404 m/s
  4. 4. v = 0.5318 m/s
  5. 5. A = 4.667 cm
  6. 6. t = 0.1 s

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