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 = ?1.5 m/s²v

A 100 kg person stands on bathroom scales in a lift. The lift starts moving downwards with an acceleration of 1.5 m/s². Use g = 9.81 m/s². Find the force N the scales exert on the person (the scale reading in newtons).

m = 100 kga = 1.5 m/s²g = 9.81 m/s²
N = N
2.Easy
N = ?3 m/s²v

A 55 kg person stands on bathroom scales in a lift. The lift is moving downwards and slowing down at 3 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 = 3 m/s²g = 9.81 m/s²
N = N
3.Medium
5 kg3 kg

Masses of 5 kg and 3 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 acceleration a of the masses.

m1 = 5 kgm2 = 3 kgg = 9.81 m/s²
a = m/s²
4.Medium
θ = 45°a = ?m = 12 kg

A 12 kg block slides down a frictionless slope at 45° to the horizontal. Use g = 9.81 m/s². Find the acceleration a of the block along the slope.

m = 12 kgθ = 45°μ = 0g = 9.81 m/s²
a = m/s²
5.Hard
m1​ = 7.5 kg6 kgθ = 35°

A 7.5 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 6 kg mass. The hanging mass moves down. The ramp is frictionless. Use g = 9.81 m/s². Find the acceleration a of the system.

m1 = 7.5 kgm2 = 6 kgθ = 35°μ = 0g = 9.81 m/s²
a = m/s²
6.Hard
m1​ = 3 kg3.5 kgμ = 0.25

A 3 kg block on a horizontal table is connected by a light string over a frictionless pulley to a hanging 3.5 kg mass. The coefficient of kinetic friction between block and table is 0.25. Use g = 9.81 m/s². Find the tension T in the string.

m1 = 3 kgm2 = 3.5 kgμ = 0.25g = 9.81 m/s²
T = N

Answer key

  1. 1. N = 831 N
  2. 2. N = 704.6 N
  3. 3. a = 2.453 m/s²
  4. 4. a = 6.937 m/s²
  5. 5. a = 1.234 m/s²
  6. 6. T = 19.81 N

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