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 m/s²v

A 60 kg person stands on bathroom scales in a lift. The lift is moving upwards and slowing down at 2 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 m/s²g = 9.81 m/s²
N = N
2.Easy
N = ?2.5 m/s²v

A 95 kg person stands on bathroom scales in a lift. The lift starts moving downwards 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 = 95 kga = 2.5 m/s²g = 9.81 m/s²
N = N
3.Medium
θ = 20°a = ?m = 20 kg

A 20 kg block slides down a slope at 20° to the horizontal. The coefficient of kinetic friction is 0.2. Use g = 9.81 m/s². Find the acceleration a of the block along the slope.

m = 20 kgθ = 20°μ = 0.2g = 9.81 m/s²
a = m/s²
4.Medium
9 kg0.5 kg

Masses of 9 kg and 0.5 kg hang on either side of a light, frictionless pulley, connected by a light string. The system is released from rest. Use g = 9.81 m/s². Find the tension T in the string.

m1 = 9 kgm2 = 0.5 kgg = 9.81 m/s²
T = N
5.Hard
m1​ = 4.5 kg3 kgμ = 0.3

A 4.5 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 0.3. Use g = 9.81 m/s². Find the acceleration a of the system.

m1 = 4.5 kgm2 = 3 kgμ = 0.3g = 9.81 m/s²
a = m/s²
6.Hard
m1​ = 1 kg0.5 kgμ = 0.1

A 1 kg block on a horizontal table is connected by a light string over a frictionless pulley to a hanging 0.5 kg mass. The coefficient of kinetic friction between block and table is 0.1. Use g = 9.81 m/s². Find the tension T in the string.

m1 = 1 kgm2 = 0.5 kgμ = 0.1g = 9.81 m/s²
T = N

Answer key

  1. 1. N = 468.6 N
  2. 2. N = 694.5 N
  3. 3. a = 1.512 m/s²
  4. 4. T = 9.294 N
  5. 5. a = 2.158 m/s²
  6. 6. T = 3.597 N

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