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 = 2 kgF = 65 Nμ = 0.4a = ?

A 2 kg crate is pushed across a floor with a horizontal force of 65 N. The coefficient of kinetic friction is 0.4. Use g = 9.81 m/s². Find the acceleration a of the crate.

m = 2 kgF = 65 Nμ = 0.4g = 9.81 m/s²
a = m/s²
2.Easy
m = 22 kgF = 45 Nμ = 0.1a = ?

A 22 kg crate is pushed across a floor with a horizontal force of 45 N. The coefficient of kinetic friction is 0.1. Use g = 9.81 m/s². Find the acceleration a of the crate.

m = 22 kgF = 45 Nμ = 0.1g = 9.81 m/s²
a = m/s²
3.Medium
9.5 kg2 kg

Masses of 9.5 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 acceleration a of the masses.

m1 = 9.5 kgm2 = 2 kgg = 9.81 m/s²
a = m/s²
4.Medium
θ = 25°a = ?m = 6 kg

A 6 kg block slides down a frictionless slope at 25° to the horizontal. Use g = 9.81 m/s². Find the acceleration a of the block along the slope.

m = 6 kgθ = 25°μ = 0g = 9.81 m/s²
a = m/s²
5.Hard
m1​ = 3 kg2.5 kgμ = 0.1

A 3 kg block on a horizontal table is connected by a light string over a frictionless pulley to a hanging 2.5 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 = 3 kgm2 = 2.5 kgμ = 0.1g = 9.81 m/s²
T = N
6.Hard
m1​ = 10 kg5 kgμ = 0.1

A 10 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 = 10 kgm2 = 5 kgμ = 0.1g = 9.81 m/s²
a = m/s²

Answer key

  1. 1. a = 28.58 m/s²
  2. 2. a = 1.064 m/s²
  3. 3. a = 6.398 m/s²
  4. 4. a = 4.146 m/s²
  5. 5. T = 14.72 N
  6. 6. a = 2.616 m/s²

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