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.

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1.Easy
N = ?2 m/s²v

A 90 kg person stands on bathroom scales in a lift. The lift is moving downwards and slowing down at 2 m/s². Use g = 9.81 m/s². Find the force N the scales exert on the person (the scale reading in newtons).

m = 90 kga = 2 m/s²g = 9.81 m/s²
N = N
2.Easy
30 kgF = ?a = 2.5 m/s²μ = 0.1

A 30 kg crate is pulled across a floor by a horizontal rope. The coefficient of kinetic friction is 0.1. Use g = 9.81 m/s². What pulling force F gives the crate an acceleration of 2.5 m/s²?

m = 30 kgμ = 0.1a = 2.5 m/s²g = 9.81 m/s²
F = N
3.Medium
boxv₀ = 5 m/sμ = ?

A box slides across a level floor with an initial speed of 5 m/s and comes to rest after 6.4 m. Use g = 9.81 m/s². Find the coefficient of kinetic friction μ.

v₀ = 5 m/sd = 6.4 mg = 9.81 m/s²
μ =
4.Medium
10 kg2.5 kg

Masses of 10 kg and 2.5 kg hang on either side of a light, frictionless pulley, connected by a light string. The system is released from rest. Use g = 9.81 m/s². Find the tension T in the string.

m1 = 10 kgm2 = 2.5 kgg = 9.81 m/s²
T = N
5.Hard
θ = 35°blockv₀ = 3 m/s

A block is given a push so that it starts sliding up a ramp at 35° with a speed of 3 m/s. The coefficient of kinetic friction is 0.1. Use g = 9.81 m/s². How far d along the ramp does it slide before it stops?

v₀ = 3 m/sθ = 35°μ = 0.1g = 9.81 m/s²
d = m
6.Hard
m1​ = 4 kg2.5 kgμ = 0.2

A 4 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 0.2. Use g = 9.81 m/s². Find the tension T in the string.

m1 = 4 kgm2 = 2.5 kgμ = 0.2g = 9.81 m/s²
T = N

Answer key

  1. 1. N = 1063 N
  2. 2. F = 104.4 N
  3. 3. μ = 0.1991
  4. 4. T = 39.24 N
  5. 5. d = 0.6998 m
  6. 6. T = 18.11 N

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