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 = 16 kgF = 70 Nμ = 0.4a = ?

A 16 kg crate is pushed across a floor with a horizontal force of 70 N. The coefficient of kinetic friction is 0.4. Use g = 9.81 m/s². Find the acceleration a of the crate.

m = 16 kgF = 70 Nμ = 0.4g = 9.81 m/s²
a = m/s²
2.Easy
N = ?1 m/s²v

A 70 kg person stands on bathroom scales in a lift. The lift is moving upwards and slowing down at 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 = 70 kga = 1 m/s²g = 9.81 m/s²
N = N
3.Medium
θ = 35°a = ?m = 11 kg

An 11 kg block slides down a slope at 35° to the horizontal. The coefficient of kinetic friction is 0.3. Use g = 9.81 m/s². Find the acceleration a of the block along the slope.

m = 11 kgθ = 35°μ = 0.3g = 9.81 m/s²
a = m/s²
4.Medium
θ = 35°a = ?m = 19 kg

A 19 kg block slides down a slope at 35° 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 = 19 kgθ = 35°μ = 0.25g = 9.81 m/s²
a = m/s²
5.Hard
2 kg5 kgTF = 35 Nμ = 0.1

Two blocks on a level floor are joined by a light horizontal string. A horizontal force of 35 N pulls the front 5 kg block; the 2 kg block is towed behind. The coefficient of kinetic friction is 0.1 for both blocks. Use g = 9.81 m/s². Find the tension T in the connecting string.

m1 = 2 kgm2 = 5 kgF = 35 Nμ = 0.1g = 9.81 m/s²
T = N
6.Hard
m1​ = 6 kg2 kgno friction

A 6 kg block on a horizontal table is connected by a light string over a frictionless pulley to a hanging 2 kg mass. The table is frictionless. Use g = 9.81 m/s². Find the tension T in the string.

m1 = 6 kgm2 = 2 kgμ = 0g = 9.81 m/s²
T = N

Answer key

  1. 1. a = 0.451 m/s²
  2. 2. N = 616.7 N
  3. 3. a = 3.216 m/s²
  4. 4. a = 3.618 m/s²
  5. 5. T = 10 N
  6. 6. T = 14.71 N

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