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 = 95 Nμ = 0.2a = ?

A 38 kg crate is pushed across a floor with a horizontal force of 95 N. The coefficient of kinetic friction is 0.2. Use g = 9.81 m/s². Find the acceleration a of the crate.

m = 38 kgF = 95 Nμ = 0.2g = 9.81 m/s²
a = m/s²
2.Easy
m = 6 kgF = 75 Nμ = 0.25a = ?

A 6 kg crate is pushed across a floor with a horizontal force of 75 N. The coefficient of kinetic friction is 0.25. Use g = 9.81 m/s². Find the acceleration a of the crate.

m = 6 kgF = 75 Nμ = 0.25g = 9.81 m/s²
a = m/s²
3.Medium
40 kg35°F = 100 Nμ = 0.2

A 40 kg sled is pulled across level snow by a rope at 35° above the horizontal with a force of 100 N. The coefficient of kinetic friction is 0.2. Use g = 9.81 m/s². Find the acceleration a of the sled.

m = 40 kgF = 100 Nθ = 35°μ = 0.2g = 9.81 m/s²
a = m/s²
4.Medium
3 kg2 kg

Masses of 3 kg and 2 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 = 3 kgm2 = 2 kgg = 9.81 m/s²
T = N
5.Hard
8 kg3 kgTF = 125 Nμ = 0.3

Two blocks on a level floor are joined by a light horizontal string. A horizontal force of 125 N pulls the front 3 kg block; the 8 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 = 8 kgm2 = 3 kgF = 125 Nμ = 0.3g = 9.81 m/s²
T = N
6.Hard
m1​ = 3 kg4 kgμ = 0.2

A 3 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 = 3 kgm2 = 4 kgμ = 0.2g = 9.81 m/s²
a = m/s²

Answer key

  1. 1. a = 0.538 m/s²
  2. 2. a = 10.05 m/s²
  3. 3. a = 0.3727 m/s²
  4. 4. T = 23.54 N
  5. 5. T = 90.91 N
  6. 6. a = 4.765 m/s²

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