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
12 kg2 kgF = 15 N

Two blocks of 12 kg and 2 kg sit side by side on a frictionless floor. A horizontal force of 15 N pushes on the 12 kg block, which pushes the other one. Find the acceleration a of the blocks.

m1 = 12 kgm2 = 2 kgF = 15 N
a = m/s²
2.Easy
5 kgF = ?a = 2.75 m/s²μ = 0.15

A 5 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 = 5 kgμ = 0.15a = 2.75 m/s²g = 9.81 m/s²
F = N
3.Medium
θ = 45°a = ?m = 2 kg

A 2 kg block slides down a slope at 45° to the horizontal. The coefficient of kinetic friction is 0.25. Use g = 9.81 m/s². Find the acceleration a of the block along the slope.

m = 2 kgθ = 45°μ = 0.25g = 9.81 m/s²
a = m/s²
4.Medium
θ = 45°a = ?m = 8 kg

An 8 kg block slides down a slope at 45° 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 = 8 kgθ = 45°μ = 0.2g = 9.81 m/s²
a = m/s²
5.Hard
12 kg9 kgTF = 135 Nμ = 0.1

Two blocks on a level floor are joined by a light horizontal string. A horizontal force of 135 N pulls the front 9 kg block; the 12 kg block is towed behind. The coefficient of kinetic friction is 0.1 for both blocks. Use g = 9.81 m/s². Find the tension T in the connecting string.

m1 = 12 kgm2 = 9 kgF = 135 Nμ = 0.1g = 9.81 m/s²
T = N
6.Hard
m1​ = 6 kg5.5 kgμ = 0.1

A 6 kg block on a horizontal table is connected by a light string over a frictionless pulley to a hanging 5.5 kg mass. The coefficient of kinetic friction between block and table is 0.1. Use g = 9.81 m/s². Find the tension T in the string.

m1 = 6 kgm2 = 5.5 kgμ = 0.1g = 9.81 m/s²
T = N

Answer key

  1. 1. a = 1.071 m/s²
  2. 2. F = 21.11 N
  3. 3. a = 5.203 m/s²
  4. 4. a = 5.549 m/s²
  5. 5. T = 77.14 N
  6. 6. T = 30.97 N

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