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

An 80 kg person stands on bathroom scales in a lift. The lift starts moving downwards with an acceleration of 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 = 80 kga = 2 m/s²g = 9.81 m/s²
N = N
2.Easy
1 kg7 kgF = 35 N

Two blocks of 1 kg and 7 kg sit side by side on a frictionless floor. A horizontal force of 35 N pushes on the 1 kg block, which pushes the other one. Find the force Fc that the first block exerts on the second.

m1 = 1 kgm2 = 7 kgF = 35 N
Fc = N
3.Medium
θ = 45°a = ?m = 9 kg

A 9 kg block slides down a slope at 45° to the horizontal. The coefficient of kinetic friction is 0.3. Use g = 9.81 m/s². Find the acceleration a of the block along the slope.

m = 9 kgθ = 45°μ = 0.3g = 9.81 m/s²
a = m/s²
4.Medium
10 kg35°F = 70 Nμ = 0.4

A 10 kg sled is pulled across level snow by a rope at 35° above the horizontal with a force of 70 N. The coefficient of kinetic friction is 0.4. Use g = 9.81 m/s². Find the acceleration a of the sled.

m = 10 kgF = 70 Nθ = 35°μ = 0.4g = 9.81 m/s²
a = m/s²
5.Hard
m1​ = 1 kg4.5 kgμ = 0.3

A 1 kg block on a horizontal table is connected by a light string over a frictionless pulley to a hanging 4.5 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 = 1 kgm2 = 4.5 kgμ = 0.3g = 9.81 m/s²
a = m/s²
6.Hard
8 kg11 kgTF = 105 Nμ = 0.25

Two blocks on a level floor are joined by a light horizontal string. A horizontal force of 105 N pulls the front 11 kg block; the 8 kg block is towed behind. The coefficient of kinetic friction is 0.25 for both blocks. Use g = 9.81 m/s². Find the acceleration a of the blocks.

m1 = 8 kgm2 = 11 kgF = 105 Nμ = 0.25g = 9.81 m/s²
a = m/s²

Answer key

  1. 1. N = 624.8 N
  2. 2. Fc = 30.63 N
  3. 3. a = 4.856 m/s²
  4. 4. a = 3.416 m/s²
  5. 5. a = 7.491 m/s²
  6. 6. a = 3.074 m/s²

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