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 = 10 kgF = 70 Nμ = 0.1a = ?

A 10 kg crate is pushed across a floor with a horizontal force of 70 N. The coefficient of kinetic friction is 0.1. Use g = 9.81 m/s². Find the acceleration a of the crate.

m = 10 kgF = 70 Nμ = 0.1g = 9.81 m/s²
a = m/s²
2.Easy
N = ?1 m/s²v

A 50 kg person stands on bathroom scales in a lift. The lift starts moving downwards with an acceleration of 1 m/s². Use g = 9.81 m/s². Find the force N the scales exert on the person (the scale reading in newtons).

m = 50 kga = 1 m/s²g = 9.81 m/s²
N = N
3.Medium
θ = 30°a = ?m = 7 kg

A 7 kg block slides down a frictionless slope at 30° to the horizontal. Use g = 9.81 m/s². Find the acceleration a of the block along the slope.

m = 7 kgθ = 30°μ = 0g = 9.81 m/s²
a = m/s²
4.Medium
θ = 15°5 kgF = ?

A 5 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 0.15. Use g = 9.81 m/s². Find the pushing force F.

m = 5 kgθ = 15°μ = 0.15g = 9.81 m/s²
F = N
5.Hard
10 kg5 kgTF = 70 Nμ = 0.3

Two blocks on a level floor are joined by a light horizontal string. A horizontal force of 70 N pulls the front 5 kg block; the 10 kg block is towed behind. The coefficient of kinetic friction is 0.3 for both blocks. Use g = 9.81 m/s². Find the tension T in the connecting string.

m1 = 10 kgm2 = 5 kgF = 70 Nμ = 0.3g = 9.81 m/s²
T = N
6.Hard
m1​ = 1 kg1 kgθ = 35°

A 1 kg block on a ramp at 35° 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 = 1 kgm2 = 1 kgθ = 35°μ = 0g = 9.81 m/s²
T = N

Answer key

  1. 1. a = 6.019 m/s²
  2. 2. N = 440.5 N
  3. 3. a = 4.905 m/s²
  4. 4. F = 19.8 N
  5. 5. T = 46.67 N
  6. 6. T = 7.718 N

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