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
5 kg1 kgF = 10 N

Two blocks of 5 kg and 1 kg sit side by side on a frictionless floor. A horizontal force of 10 N pushes on the 5 kg block, which pushes the other one. Find the acceleration a of the blocks.

m1 = 5 kgm2 = 1 kgF = 10 N
a = m/s²
2.Easy
3 kg10 kgF = 35 N

Two blocks of 3 kg and 10 kg sit side by side on a frictionless floor. A horizontal force of 35 N pushes on the 3 kg block, which pushes the other one. Find the force Fc that the first block exerts on the second.

m1 = 3 kgm2 = 10 kgF = 35 N
Fc = N
3.Medium
15 kg35°F = 130 Nμ = 0.2

A 15 kg sled is pulled across level snow by a rope at 35° above the horizontal with a force of 130 N. The coefficient of kinetic friction is 0.2. Use g = 9.81 m/s². Find the acceleration a of the sled.

m = 15 kgF = 130 Nθ = 35°μ = 0.2g = 9.81 m/s²
a = m/s²
4.Medium
θ = 40°10 kgF = ?

A 10 kg box is pushed up a ramp at 40° to the horizontal at constant speed, by a force parallel to the ramp. The coefficient of kinetic friction is 0.1. Use g = 9.81 m/s². Find the pushing force F.

m = 10 kgθ = 40°μ = 0.1g = 9.81 m/s²
F = N
5.Hard
m1​ = 9 kg3 kgμ = 0.2

A 9 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 0.2. Use g = 9.81 m/s². Find the tension T in the string.

m1 = 9 kgm2 = 3 kgμ = 0.2g = 9.81 m/s²
T = N
6.Hard
4 kg5 kgTF = 75 Nμ = 0.3

Two blocks on a level floor are joined by a light horizontal string. A horizontal force of 75 N pulls the front 5 kg block; the 4 kg block is towed behind. The coefficient of kinetic friction is 0.3 for both blocks. Use g = 9.81 m/s². Find the acceleration a of the blocks.

m1 = 4 kgm2 = 5 kgF = 75 Nμ = 0.3g = 9.81 m/s²
a = m/s²

Answer key

  1. 1. a = 1.667 m/s²
  2. 2. Fc = 26.92 N
  3. 3. a = 6.132 m/s²
  4. 4. F = 70.57 N
  5. 5. T = 26.49 N
  6. 6. a = 5.39 m/s²

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