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 = ?2.5 m/s²v

A 100 kg person stands on bathroom scales in a lift. The lift starts moving upwards 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 = 100 kga = 2.5 m/s²g = 9.81 m/s²
N = N
2.Easy
m = 10 kgF = 75 Nμ = 0.4a = ?

A 10 kg crate is pushed across a floor with a horizontal force of 75 N. The coefficient of kinetic friction is 0.4. Use g = 9.81 m/s². Find the acceleration a of the crate.

m = 10 kgF = 75 Nμ = 0.4g = 9.81 m/s²
a = m/s²
3.Medium
θ = 35°a = ?m = 19 kg

A 19 kg block slides down a frictionless slope at 35° to the horizontal. Use g = 9.81 m/s². Find the acceleration a of the block along the slope.

m = 19 kgθ = 35°μ = 0g = 9.81 m/s²
a = m/s²
4.Medium
θ = 45°a = ?m = 17 kg

A 17 kg block slides down a frictionless slope at 45° to the horizontal. Use g = 9.81 m/s². Find the acceleration a of the block along the slope.

m = 17 kgθ = 45°μ = 0g = 9.81 m/s²
a = m/s²
5.Hard
m1​ = 6.5 kg2 kgμ = 0.2

A 6.5 kg block on a horizontal table is connected by a light string over a frictionless pulley to a hanging 2 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 = 6.5 kgm2 = 2 kgμ = 0.2g = 9.81 m/s²
a = m/s²
6.Hard
m1​ = 3 kg5 kgμ = 0.1

A 3 kg block on a horizontal table is connected by a light string over a frictionless pulley to a hanging 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 = 3 kgm2 = 5 kgμ = 0.1g = 9.81 m/s²
T = N

Answer key

  1. 1. N = 1231 N
  2. 2. a = 3.576 m/s²
  3. 3. a = 5.627 m/s²
  4. 4. a = 6.937 m/s²
  5. 5. a = 0.8079 m/s²
  6. 6. T = 20.23 N

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