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 = 38 kgF = 90 Nμ = 0.15a = ?

A 38 kg crate is pushed across a floor with a horizontal force of 90 N. The coefficient of kinetic friction is 0.15. Use g = 9.81 m/s². Find the acceleration a of the crate.

m = 38 kgF = 90 Nμ = 0.15g = 9.81 m/s²
a = m/s²
2.Easy
m = 6 kgF = 60 Nμ = 0.4a = ?

A 6 kg crate is pushed across a floor with a horizontal force of 60 N. The coefficient of kinetic friction is 0.4. Use g = 9.81 m/s². Find the acceleration a of the crate.

m = 6 kgF = 60 Nμ = 0.4g = 9.81 m/s²
a = m/s²
3.Medium
9 kg1 kg

Masses of 9 kg and 1 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 acceleration a of the masses.

m1 = 9 kgm2 = 1 kgg = 9.81 m/s²
a = m/s²
4.Medium
θ = 45°a = ?m = 16 kg

A 16 kg block slides down a slope at 45° 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 = 16 kgθ = 45°μ = 0.15g = 9.81 m/s²
a = m/s²
5.Hard
m1​ = 1 kg3.5 kgμ = 0.25

A 1 kg block on a horizontal table is connected by a light string over a frictionless pulley to a hanging 3.5 kg mass. The coefficient of kinetic friction between block and table is 0.25. Use g = 9.81 m/s². Find the acceleration a of the system.

m1 = 1 kgm2 = 3.5 kgμ = 0.25g = 9.81 m/s²
a = m/s²
6.Hard
1 kg7 kgTF = 80 Nμ = 0.3

Two blocks on a level floor are joined by a light horizontal string. A horizontal force of 80 N pulls the front 7 kg block; the 1 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 = 1 kgm2 = 7 kgF = 80 Nμ = 0.3g = 9.81 m/s²
T = N

Answer key

  1. 1. a = 0.8969 m/s²
  2. 2. a = 6.076 m/s²
  3. 3. a = 7.848 m/s²
  4. 4. a = 5.896 m/s²
  5. 5. a = 7.085 m/s²
  6. 6. T = 10 N

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