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
60 kgF = ?a = 1.25 m/s²μ = 0.3

A 60 kg crate is pulled across a floor by a horizontal rope. The coefficient of kinetic friction is 0.3. Use g = 9.81 m/s². What pulling force F gives the crate an acceleration of 1.25 m/s²?

m = 60 kgμ = 0.3a = 1.25 m/s²g = 9.81 m/s²
F = N
2.Easy
N = ?2.5 m/s²v

An 85 kg person stands on bathroom scales in a lift. The lift starts moving downwards with an acceleration of 2.5 m/s². Use g = 9.81 m/s². Find the force N the scales exert on the person (the scale reading in newtons).

m = 85 kga = 2.5 m/s²g = 9.81 m/s²
N = N
3.Medium
θ = 20°25 kgF = ?

A 25 kg box is pushed up a ramp at 20° to the horizontal at constant speed, by a force parallel to the ramp. The coefficient of kinetic friction is 0.25. Use g = 9.81 m/s². Find the pushing force F.

m = 25 kgθ = 20°μ = 0.25g = 9.81 m/s²
F = N
4.Medium
20 kg30°F = 90 Nμ = 0.25

A 20 kg sled is pulled across level snow by a rope at 30° above the horizontal with a force of 90 N. The coefficient of kinetic friction is 0.25. Use g = 9.81 m/s². Find the acceleration a of the sled.

m = 20 kgF = 90 Nθ = 30°μ = 0.25g = 9.81 m/s²
a = m/s²
5.Hard
m1​ = 7 kg10 kgθ = 30°

A 7 kg block on a ramp at 30° is connected by a light string over a frictionless pulley at the top of the ramp to a hanging 10 kg mass. The hanging mass moves down. The coefficient of kinetic friction between block and ramp is 0.1. Use g = 9.81 m/s². Find the acceleration a of the system.

m1 = 7 kgm2 = 10 kgθ = 30°μ = 0.1g = 9.81 m/s²
a = m/s²
6.Hard
m1​ = 4.5 kg2.5 kgμ = 0.1

A 4.5 kg block on a horizontal table is connected by a light string over a frictionless pulley to a hanging 2.5 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 = 4.5 kgm2 = 2.5 kgμ = 0.1g = 9.81 m/s²
T = N

Answer key

  1. 1. F = 251.6 N
  2. 2. N = 621.4 N
  3. 3. F = 141.5 N
  4. 4. a = 2.007 m/s²
  5. 5. a = 3.401 m/s²
  6. 6. T = 17.34 N

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