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 = 24 kgF = 150 Nμ = 0.4a = ?

A 24 kg crate is pushed across a floor with a horizontal force of 150 N. The coefficient of kinetic friction is 0.4. Use g = 9.81 m/s². Find the acceleration a of the crate.

m = 24 kgF = 150 Nμ = 0.4g = 9.81 m/s²
a = m/s²
2.Easy
m = 18 kgF = 50 Nμ = 0.25a = ?

An 18 kg crate is pushed across a floor with a horizontal force of 50 N. The coefficient of kinetic friction is 0.25. Use g = 9.81 m/s². Find the acceleration a of the crate.

m = 18 kgF = 50 Nμ = 0.25g = 9.81 m/s²
a = m/s²
3.Medium
9 kg3 kg

Masses of 9 kg and 3 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 tension T in the string.

m1 = 9 kgm2 = 3 kgg = 9.81 m/s²
T = N
4.Medium
9 kg4.5 kg

Masses of 9 kg and 4.5 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 tension T in the string.

m1 = 9 kgm2 = 4.5 kgg = 9.81 m/s²
T = N
5.Hard
θ = 30°blockv₀ = 6 m/s

A block is given a push so that it starts sliding up a ramp at 30° with a speed of 6 m/s. The coefficient of kinetic friction is 0.2. Use g = 9.81 m/s². How far d along the ramp does it slide before it stops?

v₀ = 6 m/sθ = 30°μ = 0.2g = 9.81 m/s²
d = m
6.Hard
θ = 15°blockv₀ = 10.5 m/s

A block is given a push so that it starts sliding up a ramp at 15° with a speed of 10.5 m/s. The coefficient of kinetic friction is 0.2. Use g = 9.81 m/s². How far d along the ramp does it slide before it stops?

v₀ = 10.5 m/sθ = 15°μ = 0.2g = 9.81 m/s²
d = m

Answer key

  1. 1. a = 2.326 m/s²
  2. 2. a = 0.3253 m/s²
  3. 3. T = 44.15 N
  4. 4. T = 58.86 N
  5. 5. d = 2.726 m
  6. 6. d = 12.43 m

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