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 = 34 kgF = 50 Nμ = 0.1a = ?

A 34 kg crate is pushed across a floor with a horizontal force of 50 N. The coefficient of kinetic friction is 0.1. Use g = 9.81 m/s². Find the acceleration a of the crate.

m = 34 kgF = 50 Nμ = 0.1g = 9.81 m/s²
a = m/s²
2.Easy
m = 8 kgF = 70 Nμ = 0.2a = ?

An 8 kg crate is pushed across a floor with a horizontal force of 70 N. The coefficient of kinetic friction is 0.2. Use g = 9.81 m/s². Find the acceleration a of the crate.

m = 8 kgF = 70 Nμ = 0.2g = 9.81 m/s²
a = m/s²
3.Medium
θ = 35°a = ?m = 11 kg

An 11 kg block slides down a slope at 35° 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 = 11 kgθ = 35°μ = 0.15g = 9.81 m/s²
a = m/s²
4.Medium
θ = 30°a = ?m = 17 kg

A 17 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 = 17 kgθ = 30°μ = 0.2g = 9.81 m/s²
a = m/s²
5.Hard
8 kg7 kgTF = 40 Nμ = 0.2

Two blocks on a level floor are joined by a light horizontal string. A horizontal force of 40 N pulls the front 7 kg block; the 8 kg block is towed behind. The coefficient of kinetic friction is 0.2 for both blocks. Use g = 9.81 m/s². Find the tension T in the connecting string.

m1 = 8 kgm2 = 7 kgF = 40 Nμ = 0.2g = 9.81 m/s²
T = N
6.Hard
m1​ = 7 kg5 kgμ = 0.1

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 coefficient of kinetic friction between block and table is 0.1. Use g = 9.81 m/s². Find the acceleration a of the system.

m1 = 7 kgm2 = 5 kgμ = 0.1g = 9.81 m/s²
a = m/s²

Answer key

  1. 1. a = 0.4896 m/s²
  2. 2. a = 6.788 m/s²
  3. 3. a = 4.421 m/s²
  4. 4. a = 3.206 m/s²
  5. 5. T = 21.33 N
  6. 6. a = 3.515 m/s²

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