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
1 kg4 kgF = 20 N

Two blocks of 1 kg and 4 kg sit side by side on a frictionless floor. A horizontal force of 20 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 = 4 kgF = 20 N
Fc = N
2.Easy
m = 38 kgF = 155 Nμ = 0.25a = ?

A 38 kg crate is pushed across a floor with a horizontal force of 155 N. The coefficient of kinetic friction is 0.25. Use g = 9.81 m/s². Find the acceleration a of the crate.

m = 38 kgF = 155 Nμ = 0.25g = 9.81 m/s²
a = m/s²
3.Medium
θ = 35°a = ?m = 4 kg

A 4 kg block slides down a slope at 35° to the horizontal. The coefficient of kinetic friction is 0.2. Use g = 9.81 m/s². Find the acceleration a of the block along the slope.

m = 4 kgθ = 35°μ = 0.2g = 9.81 m/s²
a = m/s²
4.Medium
θ = 20°a = ?m = 2 kg

A 2 kg block slides down a slope at 20° 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 = 2 kgθ = 20°μ = 0.25g = 9.81 m/s²
a = m/s²
5.Hard
12 kg9 kgTF = 75 Nμ = 0.25

Two blocks on a level floor are joined by a light horizontal string. A horizontal force of 75 N pulls the front 9 kg block; the 12 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 = 12 kgm2 = 9 kgF = 75 Nμ = 0.25g = 9.81 m/s²
T = N
6.Hard
1 kg10 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 10 kg block; the 1 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 = 1 kgm2 = 10 kgF = 105 Nμ = 0.25g = 9.81 m/s²
T = N

Answer key

  1. 1. Fc = 16 N
  2. 2. a = 1.626 m/s²
  3. 3. a = 4.02 m/s²
  4. 4. a = 1.051 m/s²
  5. 5. T = 42.86 N
  6. 6. T = 9.545 N

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