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 = 40 Nμ = 0.2a = ?

A 12 kg crate is pushed across a floor with a horizontal force of 40 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 = 40 Nμ = 0.2g = 9.81 m/s²
a = m/s²
2.Easy
25 kgF = ?a = 3 m/s²μ = 0.25

A 25 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 3 m/s²?

m = 25 kgμ = 0.25a = 3 m/s²g = 9.81 m/s²
F = N
3.Medium
θ = 20°a = ?m = 20 kg

A 20 kg block slides down a slope at 20° 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 = 20 kgθ = 20°μ = 0.15g = 9.81 m/s²
a = m/s²
4.Medium
θ = 20°a = ?m = 16 kg

A 16 kg block slides down a slope at 20° to the horizontal. The coefficient of kinetic friction is 0.3. Use g = 9.81 m/s². Find the acceleration a of the block along the slope.

m = 16 kgθ = 20°μ = 0.3g = 9.81 m/s²
a = m/s²
5.Hard
m1​ = 2.5 kg4 kgμ = 0.2

A 2.5 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 0.2. Use g = 9.81 m/s². Find the acceleration a of the system.

m1 = 2.5 kgm2 = 4 kgμ = 0.2g = 9.81 m/s²
a = m/s²
6.Hard
m1​ = 1 kg4 kgμ = 0.1

A 1 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 acceleration a of the system.

m1 = 1 kgm2 = 4 kgμ = 0.1g = 9.81 m/s²
a = m/s²

Answer key

  1. 1. a = 1.371 m/s²
  2. 2. F = 136.3 N
  3. 3. a = 1.972 m/s²
  4. 4. a = 0.5897 m/s²
  5. 5. a = 5.282 m/s²
  6. 6. a = 7.652 m/s²

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