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 = 18 kgF = 45 Nμ = 0.15a = ?

An 18 kg crate is pushed across a floor with a horizontal force of 45 N. The coefficient of kinetic friction is 0.15. Use g = 9.81 m/s². Find the acceleration a of the crate.

m = 18 kgF = 45 Nμ = 0.15g = 9.81 m/s²
a = m/s²
2.Easy
10 kg4 kgF = 30 N

Two blocks of 10 kg and 4 kg sit side by side on a frictionless floor. A horizontal force of 30 N pushes on the 10 kg block, which pushes the other one. Find the force Fc that the first block exerts on the second.

m1 = 10 kgm2 = 4 kgF = 30 N
Fc = N
3.Medium
θ = 15°15 kgF = ?

A 15 kg box is pushed up a ramp at 15° to the horizontal at constant speed, by a force parallel to the ramp. The coefficient of kinetic friction is 0.3. Use g = 9.81 m/s². Find the pushing force F.

m = 15 kgθ = 15°μ = 0.3g = 9.81 m/s²
F = N
4.Medium
θ = 20°a = ?m = 12 kg

A 12 kg block slides down a slope at 20° 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 = 12 kgθ = 20°μ = 0.2g = 9.81 m/s²
a = m/s²
5.Hard
θ = 30°blockv₀ = 9.5 m/s

A block is given a push so that it starts sliding up a ramp at 30° with a speed of 9.5 m/s. The coefficient of kinetic friction is 0.3. Use g = 9.81 m/s². How far d along the ramp does it slide before it stops?

v₀ = 9.5 m/sθ = 30°μ = 0.3g = 9.81 m/s²
d = m
6.Hard
θ = 30°blockv₀ = 8 m/s

A block is given a push so that it starts sliding up a ramp at 30° with a speed of 8 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 = 8 m/sθ = 30°μ = 0.2g = 9.81 m/s²
d = m

Answer key

  1. 1. a = 1.029 m/s²
  2. 2. Fc = 8.571 N
  3. 3. F = 80.73 N
  4. 4. a = 1.512 m/s²
  5. 5. d = 6.054 m
  6. 6. d = 4.845 m

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