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
55 kgF = ?a = 1.5 m/s²μ = 0.4

A 55 kg crate is pulled across a floor by a horizontal rope. The coefficient of kinetic friction is 0.4. Use g = 9.81 m/s². What pulling force F gives the crate an acceleration of 1.5 m/s²?

m = 55 kgμ = 0.4a = 1.5 m/s²g = 9.81 m/s²
F = N
2.Easy
m = 18 kgF = 55 Nμ = 0.15a = ?

An 18 kg crate is pushed across a floor with a horizontal force of 55 N. The coefficient of kinetic friction is 0.15. Use g = 9.81 m/s². Find the acceleration a of the crate.

m = 18 kgF = 55 Nμ = 0.15g = 9.81 m/s²
a = m/s²
3.Medium
boxv₀ = 8.5 m/sμ = ?

A box slides across a level floor with an initial speed of 8.5 m/s and comes to rest after 25 m. Use g = 9.81 m/s². Find the coefficient of kinetic friction μ.

v₀ = 8.5 m/sd = 25 mg = 9.81 m/s²
μ =
4.Medium
θ = 30°a = ?m = 16 kg

A 16 kg block slides down a frictionless slope at 30° to the horizontal. Use g = 9.81 m/s². Find the acceleration a of the block along the slope.

m = 16 kgθ = 30°μ = 0g = 9.81 m/s²
a = m/s²
5.Hard
m1​ = 2.5 kg3.5 kgμ = 0.25

A 2.5 kg block on a horizontal table is connected by a light string over a frictionless pulley to a hanging 3.5 kg mass. The coefficient of kinetic friction between block and table is 0.25. Use g = 9.81 m/s². Find the tension T in the string.

m1 = 2.5 kgm2 = 3.5 kgμ = 0.25g = 9.81 m/s²
T = N
6.Hard
θ = 35°blockv₀ = 8 m/s

A block is given a push so that it starts sliding up a ramp at 35° with a speed of 8 m/s. The coefficient of kinetic friction is 0.1. Use g = 9.81 m/s². How far d along the ramp does it slide before it stops?

v₀ = 8 m/sθ = 35°μ = 0.1g = 9.81 m/s²
d = m

Answer key

  1. 1. F = 298.3 N
  2. 2. a = 1.584 m/s²
  3. 3. μ = 0.1473
  4. 4. a = 4.905 m/s²
  5. 5. T = 17.88 N
  6. 6. d = 4.976 m

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