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
m = 12 kgF = 60 Nμ = 0.2a = ?

A 12 kg crate is pushed across a floor with a horizontal force of 60 N. The coefficient of kinetic friction is 0.2. Use g = 9.81 m/s². Find the acceleration a of the crate.

m = 12 kgF = 60 Nμ = 0.2g = 9.81 m/s²
a = m/s²
2.Easy
N = ?1.5 m/s²v

A 55 kg person stands on bathroom scales in a lift. The lift is moving downwards and slowing down at 1.5 m/s². Use g = 9.81 m/s². Find the force N the scales exert on the person (the scale reading in newtons).

m = 55 kga = 1.5 m/s²g = 9.81 m/s²
N = N
3.Medium
9 kg3 kg

Masses of 9 kg and 3 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 = 9 kgm2 = 3 kgg = 9.81 m/s²
T = N
4.Medium
θ = 45°a = ?m = 6 kg

A 6 kg block slides down a slope at 45° to the horizontal. The coefficient of kinetic friction is 0.1. Use g = 9.81 m/s². Find the acceleration a of the block along the slope.

m = 6 kgθ = 45°μ = 0.1g = 9.81 m/s²
a = m/s²
5.Hard
m1​ = 1.5 kg4 kgno friction

A 1.5 kg block on a horizontal table is connected by a light string over a frictionless pulley to a hanging 4 kg mass. The table is frictionless. Use g = 9.81 m/s². Find the tension T in the string.

m1 = 1.5 kgm2 = 4 kgμ = 0g = 9.81 m/s²
T = N
6.Hard
m1​ = 3 kg2.5 kgμ = 0.2

A 3 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 acceleration a of the system.

m1 = 3 kgm2 = 2.5 kgμ = 0.2g = 9.81 m/s²
a = m/s²

Answer key

  1. 1. a = 3.038 m/s²
  2. 2. N = 622.1 N
  3. 3. T = 44.15 N
  4. 4. a = 6.243 m/s²
  5. 5. T = 10.7 N
  6. 6. a = 3.389 m/s²

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