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
30 kgF = ?a = 0.5 m/s²μ = 0.4

A 30 kg crate is pulled across a floor by a horizontal rope. The coefficient of kinetic friction is 0.4. Use g = 9.81 m/s². What pulling force F gives the crate an acceleration of 0.5 m/s²?

m = 30 kgμ = 0.4a = 0.5 m/s²g = 9.81 m/s²
F = N
2.Easy
N = ?1 m/s²v

An 80 kg person stands on bathroom scales in a lift. The lift is moving downwards and slowing down at 1 m/s². Use g = 9.81 m/s². Find the force N the scales exert on the person (the scale reading in newtons).

m = 80 kga = 1 m/s²g = 9.81 m/s²
N = N
3.Medium
θ = 20°a = ?m = 5 kg

A 5 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 = 5 kgθ = 20°μ = 0.15g = 9.81 m/s²
a = m/s²
4.Medium
θ = 25°a = ?m = 13 kg

A 13 kg block slides down a slope at 25° 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 = 13 kgθ = 25°μ = 0.3g = 9.81 m/s²
a = m/s²
5.Hard
7 kg4 kgTF = 140 Nμ = 0.3

Two blocks on a level floor are joined by a light horizontal string. A horizontal force of 140 N pulls the front 4 kg block; the 7 kg block is towed behind. The coefficient of kinetic friction is 0.3 for both blocks. Use g = 9.81 m/s². Find the tension T in the connecting string.

m1 = 7 kgm2 = 4 kgF = 140 Nμ = 0.3g = 9.81 m/s²
T = N
6.Hard
m1​ = 3 kg4.5 kgno friction

A 3 kg block on a horizontal table is connected by a light string over a frictionless pulley to a hanging 4.5 kg mass. The table is frictionless. Use g = 9.81 m/s². Find the tension T in the string.

m1 = 3 kgm2 = 4.5 kgμ = 0g = 9.81 m/s²
T = N

Answer key

  1. 1. F = 132.7 N
  2. 2. N = 864.8 N
  3. 3. a = 1.972 m/s²
  4. 4. a = 1.479 m/s²
  5. 5. T = 89.09 N
  6. 6. T = 17.66 N

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