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 = 12 kgF = 90 Nμ = 0.4a = ?

A 12 kg crate is pushed across a floor with a horizontal force of 90 N. The coefficient of kinetic friction is 0.4. Use g = 9.81 m/s². Find the acceleration a of the crate.

m = 12 kgF = 90 Nμ = 0.4g = 9.81 m/s²
a = m/s²
2.Easy
m = 6 kgF = 75 Nμ = 0.4a = ?

A 6 kg crate is pushed across a floor with a horizontal force of 75 N. The coefficient of kinetic friction is 0.4. Use g = 9.81 m/s². Find the acceleration a of the crate.

m = 6 kgF = 75 Nμ = 0.4g = 9.81 m/s²
a = m/s²
3.Medium
θ = 45°a = ?m = 20 kg

A 20 kg block slides down a slope at 45° to the horizontal. The coefficient of kinetic friction is 0.25. Use g = 9.81 m/s². Find the acceleration a of the block along the slope.

m = 20 kgθ = 45°μ = 0.25g = 9.81 m/s²
a = m/s²
4.Medium
θ = 45°a = ?m = 7 kg

A 7 kg block slides down a frictionless slope at 45° to the horizontal. Use g = 9.81 m/s². Find the acceleration a of the block along the slope.

m = 7 kgθ = 45°μ = 0g = 9.81 m/s²
a = m/s²
5.Hard
m1​ = 2.5 kg1 kgθ = 20°

A 2.5 kg block on a ramp at 20° is connected by a light string over a frictionless pulley at the top of the ramp to a hanging 1 kg mass. The hanging mass moves down. The ramp is frictionless. Use g = 9.81 m/s². Find the tension T in the string.

m1 = 2.5 kgm2 = 1 kgθ = 20°μ = 0g = 9.81 m/s²
T = N
6.Hard
θ = 20°blockv₀ = 8.5 m/s

A block is given a push so that it starts sliding up a ramp at 20° with a speed of 8.5 m/s. The coefficient of kinetic friction is 0.15. Use g = 9.81 m/s². How far d along the ramp does it slide before it stops?

v₀ = 8.5 m/sθ = 20°μ = 0.15g = 9.81 m/s²
d = m

Answer key

  1. 1. a = 3.576 m/s²
  2. 2. a = 8.576 m/s²
  3. 3. a = 5.203 m/s²
  4. 4. a = 6.937 m/s²
  5. 5. T = 9.404 N
  6. 6. d = 7.625 m

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