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 = 2.75 m/s²μ = 0.15

A 30 kg crate is pulled across a floor by a horizontal rope. The coefficient of kinetic friction is 0.15. Use g = 9.81 m/s². What pulling force F gives the crate an acceleration of 2.75 m/s²?

m = 30 kgμ = 0.15a = 2.75 m/s²g = 9.81 m/s²
F = N
2.Easy
20 kgF = ?a = 2 m/s²μ = 0.15

A 20 kg crate is pulled across a floor by a horizontal rope. The coefficient of kinetic friction is 0.15. Use g = 9.81 m/s². What pulling force F gives the crate an acceleration of 2 m/s²?

m = 20 kgμ = 0.15a = 2 m/s²g = 9.81 m/s²
F = N
3.Medium
θ = 30°a = ?m = 12 kg

A 12 kg block slides down a slope at 30° to the horizontal. The coefficient of kinetic friction is 0.2. Use g = 9.81 m/s². Find the acceleration a of the block along the slope.

m = 12 kgθ = 30°μ = 0.2g = 9.81 m/s²
a = m/s²
4.Medium
35 kg40°F = 120 Nμ = 0.3

A 35 kg sled is pulled across level snow by a rope at 40° above the horizontal with a force of 120 N. The coefficient of kinetic friction is 0.3. Use g = 9.81 m/s². Find the acceleration a of the sled.

m = 35 kgF = 120 Nθ = 40°μ = 0.3g = 9.81 m/s²
a = m/s²
5.Hard
m1​ = 7 kg5 kgno friction

A 7 kg block on a horizontal table is connected by a light string over a frictionless pulley to a hanging 5 kg mass. The table is frictionless. Use g = 9.81 m/s². Find the tension T in the string.

m1 = 7 kgm2 = 5 kgμ = 0g = 9.81 m/s²
T = N
6.Hard
10 kg1 kgTF = 145 Nμ = 0.15

Two blocks on a level floor are joined by a light horizontal string. A horizontal force of 145 N pulls the front 1 kg block; the 10 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 = 10 kgm2 = 1 kgF = 145 Nμ = 0.15g = 9.81 m/s²
a = m/s²

Answer key

  1. 1. F = 126.6 N
  2. 2. F = 69.43 N
  3. 3. a = 3.206 m/s²
  4. 4. a = 0.3446 m/s²
  5. 5. T = 28.61 N
  6. 6. a = 11.71 m/s²

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