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
N = ?2.5 m/s²v

A 60 kg person stands on bathroom scales in a lift. The lift starts moving upwards with an acceleration of 2.5 m/s². Use g = 9.81 m/s². Find the force N the scales exert on the person (the scale reading in newtons).

m = 60 kga = 2.5 m/s²g = 9.81 m/s²
N = N
2.Easy
60 kgF = ?a = 0.75 m/s²μ = 0.4

A 60 kg crate is pulled across a floor by a horizontal rope. The coefficient of kinetic friction is 0.4. Use g = 9.81 m/s². What pulling force F gives the crate an acceleration of 0.75 m/s²?

m = 60 kgμ = 0.4a = 0.75 m/s²g = 9.81 m/s²
F = N
3.Medium
θ = 25°a = ?m = 6 kg

A 6 kg block slides down a slope at 25° 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 = 6 kgθ = 25°μ = 0.25g = 9.81 m/s²
a = m/s²
4.Medium
θ = 35°a = ?m = 9 kg

A 9 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 = 9 kgθ = 35°μ = 0.25g = 9.81 m/s²
a = m/s²
5.Hard
m1​ = 5 kg3 kgμ = 0.25

A 5 kg block on a horizontal table is connected by a light string over a frictionless pulley to a hanging 3 kg mass. The coefficient of kinetic friction between block and table is 0.25. Use g = 9.81 m/s². Find the acceleration a of the system.

m1 = 5 kgm2 = 3 kgμ = 0.25g = 9.81 m/s²
a = m/s²
6.Hard
m1​ = 4 kg6 kgμ = 0.25

A 4 kg block on a horizontal table is connected by a light string over a frictionless pulley to a hanging 6 kg mass. The coefficient of kinetic friction between block and table is 0.25. Use g = 9.81 m/s². Find the acceleration a of the system.

m1 = 4 kgm2 = 6 kgμ = 0.25g = 9.81 m/s²
a = m/s²

Answer key

  1. 1. N = 738.6 N
  2. 2. F = 280.4 N
  3. 3. a = 1.923 m/s²
  4. 4. a = 3.618 m/s²
  5. 5. a = 2.146 m/s²
  6. 6. a = 4.905 m/s²

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