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
45 kgF = ?a = 3 m/s²μ = 0.4

A 45 kg crate is pulled across a floor by a horizontal rope. The coefficient of kinetic friction is 0.4. Use g = 9.81 m/s². What pulling force F gives the crate an acceleration of 3 m/s²?

m = 45 kgμ = 0.4a = 3 m/s²g = 9.81 m/s²
F = N
2.Easy
m = 10 kgF = 80 Nμ = 0.2a = ?

A 10 kg crate is pushed across a floor with a horizontal force of 80 N. The coefficient of kinetic friction is 0.2. Use g = 9.81 m/s². Find the acceleration a of the crate.

m = 10 kgF = 80 Nμ = 0.2g = 9.81 m/s²
a = m/s²
3.Medium
θ = 40°a = ?m = 20 kg

A 20 kg block slides down a slope at 40° 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 = 20 kgθ = 40°μ = 0.2g = 9.81 m/s²
a = m/s²
4.Medium
θ = 35°20 kgF = ?

A 20 kg box is pushed up a ramp at 35° to the horizontal at constant speed, by a force parallel to the ramp. The coefficient of kinetic friction is 0.2. Use g = 9.81 m/s². Find the pushing force F.

m = 20 kgθ = 35°μ = 0.2g = 9.81 m/s²
F = N
5.Hard
m1​ = 3.5 kg2 kgμ = 0.2

A 3.5 kg block on a horizontal table is connected by a light string over a frictionless pulley to a hanging 2 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 = 3.5 kgm2 = 2 kgμ = 0.2g = 9.81 m/s²
a = m/s²
6.Hard
10 kg5 kgTF = 50 Nμ = 0.15

Two blocks on a level floor are joined by a light horizontal string. A horizontal force of 50 N pulls the front 5 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 tension T in the connecting string.

m1 = 10 kgm2 = 5 kgF = 50 Nμ = 0.15g = 9.81 m/s²
T = N

Answer key

  1. 1. F = 311.6 N
  2. 2. a = 6.038 m/s²
  3. 3. a = 4.803 m/s²
  4. 4. F = 144.7 N
  5. 5. a = 2.319 m/s²
  6. 6. T = 33.33 N

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