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
m = 36 kgF = 170 Nμ = 0.3a = ?

A 36 kg crate is pushed across a floor with a horizontal force of 170 N. The coefficient of kinetic friction is 0.3. Use g = 9.81 m/s². Find the acceleration a of the crate.

m = 36 kgF = 170 Nμ = 0.3g = 9.81 m/s²
a = m/s²
2.Easy
25 kgF = ?a = 3 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 3 m/s²?

m = 25 kgμ = 0.2a = 3 m/s²g = 9.81 m/s²
F = N
3.Medium
θ = 30°5 kgF = ?

A 5 kg box is pushed up a ramp at 30° to the horizontal at constant speed, by a force parallel to the ramp. The coefficient of kinetic friction is 0.25. Use g = 9.81 m/s². Find the pushing force F.

m = 5 kgθ = 30°μ = 0.25g = 9.81 m/s²
F = N
4.Medium
θ = 25°a = ?m = 10 kg

A 10 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 = 10 kgθ = 25°μ = 0.3g = 9.81 m/s²
a = m/s²
5.Hard
m1​ = 4.5 kg2 kgμ = 0.1

A 4.5 kg block on a horizontal table is connected by a light string over a frictionless pulley to a hanging 2 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 = 4.5 kgm2 = 2 kgμ = 0.1g = 9.81 m/s²
T = N
6.Hard
m1​ = 6.5 kg3.5 kgno friction

A 6.5 kg block on a horizontal table is connected by a light string over a frictionless pulley to a hanging 3.5 kg mass. The table is frictionless. Use g = 9.81 m/s². Find the acceleration a of the system.

m1 = 6.5 kgm2 = 3.5 kgμ = 0g = 9.81 m/s²
a = m/s²

Answer key

  1. 1. a = 1.779 m/s²
  2. 2. F = 124.1 N
  3. 3. F = 35.14 N
  4. 4. a = 1.479 m/s²
  5. 5. T = 14.94 N
  6. 6. a = 3.433 m/s²

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