Newton’s laws worksheet with answers

Free printable Newton’s laws 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
50 kgF = ?a = 3 m/s²μ = 0.4

A 50 kg crate is pulled across a floor by a horizontal rope. The coefficient of kinetic friction is 0.4. Use g = 9.81 m/s². What pulling force F gives the crate an acceleration of 3 m/s²?

m = 50 kgμ = 0.4a = 3 m/s²g = 9.81 m/s²
F = N
2.Easy
50 kgF = ?a = 1 m/s²μ = 0.25

A 50 kg crate is pulled across a floor by a horizontal rope. The coefficient of kinetic friction is 0.25. Use g = 9.81 m/s². What pulling force F gives the crate an acceleration of 1 m/s²?

m = 50 kgμ = 0.25a = 1 m/s²g = 9.81 m/s²
F = N
3.Medium
θ = 15°20 kgF = ?

A 20 kg box is pushed up a ramp at 15° to the horizontal at constant speed, by a force parallel to the ramp. The coefficient of kinetic friction is 0.4. Use g = 9.81 m/s². Find the pushing force F.

m = 20 kgθ = 15°μ = 0.4g = 9.81 m/s²
F = N
4.Medium
θ = 30°a = ?m = 17 kg

A 17 kg block slides down a slope at 30° to the horizontal. The coefficient of kinetic friction is 0.15. Use g = 9.81 m/s². Find the acceleration a of the block along the slope.

m = 17 kgθ = 30°μ = 0.15g = 9.81 m/s²
a = m/s²
5.Hard
θ = 35°blockv₀ = 9 m/s

A block is given a push so that it starts sliding up a ramp at 35° with a speed of 9 m/s. The coefficient of kinetic friction is 0.2. Use g = 9.81 m/s². How far d along the ramp does it slide before it stops?

v₀ = 9 m/sθ = 35°μ = 0.2g = 9.81 m/s²
d = m
6.Hard
m1​ = 2 kg4 kgμ = 0.1

A 2 kg block on a horizontal table is connected by a light string over a frictionless pulley to a hanging 4 kg mass. The coefficient of kinetic friction between block and table is 0.1. Use g = 9.81 m/s². Find the tension T in the string.

m1 = 2 kgm2 = 4 kgμ = 0.1g = 9.81 m/s²
T = N

Answer key

  1. 1. F = 346.2 N
  2. 2. F = 172.6 N
  3. 3. F = 126.6 N
  4. 4. a = 3.631 m/s²
  5. 5. d = 5.599 m
  6. 6. T = 14.39 N

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