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 = ?0.5 m/s²v

A 55 kg person stands on bathroom scales in a lift. The lift starts moving downwards with an acceleration of 0.5 m/s². Use g = 9.81 m/s². Find the force N the scales exert on the person (the scale reading in newtons).

m = 55 kga = 0.5 m/s²g = 9.81 m/s²
N = N
2.Easy
N = ?1 m/s²v

An 80 kg person stands on bathroom scales in a lift. The lift is moving downwards 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 = 80 kga = 1 m/s²g = 9.81 m/s²
N = N
3.Medium
boxv₀ = 9.5 m/sμ = ?

A box slides across a level floor with an initial speed of 9.5 m/s and comes to rest after 18 m. Use g = 9.81 m/s². Find the coefficient of kinetic friction μ.

v₀ = 9.5 m/sd = 18 mg = 9.81 m/s²
μ =
4.Medium
θ = 20°20 kgF = ?

A 20 kg box is pushed up a ramp at 20° to the horizontal at constant speed, by a force parallel to the ramp. The coefficient of kinetic friction is 0.1. Use g = 9.81 m/s². Find the pushing force F.

m = 20 kgθ = 20°μ = 0.1g = 9.81 m/s²
F = N
5.Hard
m1​ = 3.5 kg4 kgμ = 0.3

A 3.5 kg block on a horizontal table is connected by a light string over a frictionless pulley to a hanging 4 kg mass. The coefficient of kinetic friction between block and table is 0.3. Use g = 9.81 m/s². Find the tension T in the string.

m1 = 3.5 kgm2 = 4 kgμ = 0.3g = 9.81 m/s²
T = N
6.Hard
m1​ = 2.5 kg5 kgθ = 35°

A 2.5 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 5 kg mass. The hanging mass moves down. The coefficient of kinetic friction between block and ramp is 0.25. Use g = 9.81 m/s². Find the tension T in the string.

m1 = 2.5 kgm2 = 5 kgθ = 35°μ = 0.25g = 9.81 m/s²
T = N

Answer key

  1. 1. N = 512.1 N
  2. 2. N = 864.8 N
  3. 3. μ = 0.2555
  4. 4. F = 85.54 N
  5. 5. T = 23.81 N
  6. 6. T = 29.08 N

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