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 70 kg person stands on bathroom scales in a lift. The lift is moving downwards 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 = 70 kga = 2 m/s²g = 9.81 m/s²
N = N
2.Easy
11 kg12 kgF = 65 N

Two blocks of 11 kg and 12 kg sit side by side on a frictionless floor. A horizontal force of 65 N pushes on the 11 kg block, which pushes the other one. Find the acceleration a of the blocks.

m1 = 11 kgm2 = 12 kgF = 65 N
a = m/s²
3.Medium
θ = 40°a = ?m = 16 kg

A 16 kg block slides down a frictionless slope at 40° to the horizontal. Use g = 9.81 m/s². Find the acceleration a of the block along the slope.

m = 16 kgθ = 40°μ = 0g = 9.81 m/s²
a = m/s²
4.Medium
9.5 kg0.5 kg

Masses of 9.5 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 acceleration a of the masses.

m1 = 9.5 kgm2 = 0.5 kgg = 9.81 m/s²
a = m/s²
5.Hard
m1​ = 8.5 kg2.5 kgμ = 0.2

An 8.5 kg block on a horizontal table is connected by a light string over a frictionless pulley to a hanging 2.5 kg mass. The coefficient of kinetic friction between block and table is 0.2. Use g = 9.81 m/s². Find the acceleration a of the system.

m1 = 8.5 kgm2 = 2.5 kgμ = 0.2g = 9.81 m/s²
a = m/s²
6.Hard
θ = 30°blockv₀ = 5.5 m/s

A block is given a push so that it starts sliding up a ramp at 30° with a speed of 5.5 m/s. The coefficient of kinetic friction is 0.25. Use g = 9.81 m/s². How far d along the ramp does it slide before it stops?

v₀ = 5.5 m/sθ = 30°μ = 0.25g = 9.81 m/s²
d = m

Answer key

  1. 1. N = 826.7 N
  2. 2. a = 2.826 m/s²
  3. 3. a = 6.306 m/s²
  4. 4. a = 8.829 m/s²
  5. 5. a = 0.7135 m/s²
  6. 6. d = 2.152 m

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