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 = 32 kgF = 140 Nμ = 0.4a = ?

A 32 kg crate is pushed across a floor with a horizontal force of 140 N. The coefficient of kinetic friction is 0.4. Use g = 9.81 m/s². Find the acceleration a of the crate.

m = 32 kgF = 140 Nμ = 0.4g = 9.81 m/s²
a = m/s²
2.Easy
m = 22 kgF = 110 Nμ = 0.3a = ?

A 22 kg crate is pushed across a floor with a horizontal force of 110 N. The coefficient of kinetic friction is 0.3. Use g = 9.81 m/s². Find the acceleration a of the crate.

m = 22 kgF = 110 Nμ = 0.3g = 9.81 m/s²
a = m/s²
3.Medium
8 kg1.5 kg

Masses of 8 kg and 1.5 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 = 8 kgm2 = 1.5 kgg = 9.81 m/s²
T = N
4.Medium
θ = 40°a = ?m = 17 kg

A 17 kg block slides down a slope at 40° 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 = 17 kgθ = 40°μ = 0.3g = 9.81 m/s²
a = m/s²
5.Hard
12 kg11 kgTF = 95 Nμ = 0.15

Two blocks on a level floor are joined by a light horizontal string. A horizontal force of 95 N pulls the front 11 kg block; the 12 kg block is towed behind. The coefficient of kinetic friction is 0.15 for both blocks. Use g = 9.81 m/s². Find the acceleration a of the blocks.

m1 = 12 kgm2 = 11 kgF = 95 Nμ = 0.15g = 9.81 m/s²
a = m/s²
6.Hard
m1​ = 8.5 kg5.5 kgno friction

An 8.5 kg block on a horizontal table is connected by a light string over a frictionless pulley to a hanging 5.5 kg mass. The table is frictionless. Use g = 9.81 m/s². Find the acceleration a of the system.

m1 = 8.5 kgm2 = 5.5 kgμ = 0g = 9.81 m/s²
a = m/s²

Answer key

  1. 1. a = 0.451 m/s²
  2. 2. a = 2.057 m/s²
  3. 3. T = 24.78 N
  4. 4. a = 4.051 m/s²
  5. 5. a = 2.659 m/s²
  6. 6. a = 3.854 m/s²

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