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
25 kgF = ?a = 1.25 m/s²μ = 0.2

A 25 kg crate is pulled across a floor by a horizontal rope. The coefficient of kinetic friction is 0.2. Use g = 9.81 m/s². What pulling force F gives the crate an acceleration of 1.25 m/s²?

m = 25 kgμ = 0.2a = 1.25 m/s²g = 9.81 m/s²
F = N
2.Easy
7 kg9 kgF = 30 N

Two blocks of 7 kg and 9 kg sit side by side on a frictionless floor. A horizontal force of 30 N pushes on the 7 kg block, which pushes the other one. Find the force Fc that the first block exerts on the second.

m1 = 7 kgm2 = 9 kgF = 30 N
Fc = N
3.Medium
θ = 25°a = ?m = 3 kg

A 3 kg block slides down a slope at 25° 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 = 3 kgθ = 25°μ = 0.3g = 9.81 m/s²
a = m/s²
4.Medium
30 kg15°F = 90 Nμ = 0.1

A 30 kg sled is pulled across level snow by a rope at 15° above the horizontal with a force of 90 N. The coefficient of kinetic friction is 0.1. Use g = 9.81 m/s². Find the acceleration a of the sled.

m = 30 kgF = 90 Nθ = 15°μ = 0.1g = 9.81 m/s²
a = m/s²
5.Hard
m1​ = 6 kg4 kgμ = 0.1

A 6 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 0.1. Use g = 9.81 m/s². Find the tension T in the string.

m1 = 6 kgm2 = 4 kgμ = 0.1g = 9.81 m/s²
T = N
6.Hard
m1​ = 1.5 kg4.5 kgμ = 0.1

A 1.5 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 0.1. Use g = 9.81 m/s². Find the tension T in the string.

m1 = 1.5 kgm2 = 4.5 kgμ = 0.1g = 9.81 m/s²
T = N

Answer key

  1. 1. F = 80.3 N
  2. 2. Fc = 16.88 N
  3. 3. a = 1.479 m/s²
  4. 4. a = 1.994 m/s²
  5. 5. T = 25.9 N
  6. 6. T = 12.14 N

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