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
45 kgF = ?a = 2.75 m/s²μ = 0.15

A 45 kg crate is pulled across a floor by a horizontal rope. The coefficient of kinetic friction is 0.15. Use g = 9.81 m/s². What pulling force F gives the crate an acceleration of 2.75 m/s²?

m = 45 kgμ = 0.15a = 2.75 m/s²g = 9.81 m/s²
F = N
2.Easy
6 kg10 kgF = 55 N

Two blocks of 6 kg and 10 kg sit side by side on a frictionless floor. A horizontal force of 55 N pushes on the 6 kg block, which pushes the other one. Find the force Fc that the first block exerts on the second.

m1 = 6 kgm2 = 10 kgF = 55 N
Fc = N
3.Medium
25 kg40°F = 150 Nμ = 0.3

A 25 kg sled is pulled across level snow by a rope at 40° above the horizontal with a force of 150 N. The coefficient of kinetic friction is 0.3. Use g = 9.81 m/s². Find the acceleration a of the sled.

m = 25 kgF = 150 Nθ = 40°μ = 0.3g = 9.81 m/s²
a = m/s²
4.Medium
θ = 30°a = ?m = 20 kg

A 20 kg block slides down a slope at 30° to the horizontal. The coefficient of kinetic friction is 0.25. Use g = 9.81 m/s². Find the acceleration a of the block along the slope.

m = 20 kgθ = 30°μ = 0.25g = 9.81 m/s²
a = m/s²
5.Hard
3 kg10 kgTF = 45 Nμ = 0.25

Two blocks on a level floor are joined by a light horizontal string. A horizontal force of 45 N pulls the front 10 kg block; the 3 kg block is towed behind. The coefficient of kinetic friction is 0.25 for both blocks. Use g = 9.81 m/s². Find the tension T in the connecting string.

m1 = 3 kgm2 = 10 kgF = 45 Nμ = 0.25g = 9.81 m/s²
T = N
6.Hard
m1​ = 7.5 kg4 kgμ = 0.2

A 7.5 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 0.2. Use g = 9.81 m/s². Find the tension T in the string.

m1 = 7.5 kgm2 = 4 kgμ = 0.2g = 9.81 m/s²
T = N

Answer key

  1. 1. F = 190 N
  2. 2. Fc = 34.38 N
  3. 3. a = 2.81 m/s²
  4. 4. a = 2.781 m/s²
  5. 5. T = 10.38 N
  6. 6. T = 30.71 N

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