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 = 155 Nμ = 0.3a = ?

A 36 kg crate is pushed across a floor with a horizontal force of 155 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 = 155 Nμ = 0.3g = 9.81 m/s²
a = m/s²
2.Easy
40 kgF = ?a = 1 m/s²μ = 0.25

A 40 kg crate is pulled across a floor by a horizontal rope. The coefficient of kinetic friction is 0.25. Use g = 9.81 m/s². What pulling force F gives the crate an acceleration of 1 m/s²?

m = 40 kgμ = 0.25a = 1 m/s²g = 9.81 m/s²
F = N
3.Medium
θ = 35°35 kgF = ?

A 35 kg box is pushed up a ramp at 35° 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 = 35 kgθ = 35°μ = 0.1g = 9.81 m/s²
F = N
4.Medium
θ = 35°a = ?m = 16 kg

A 16 kg block slides down a slope at 35° to the horizontal. The coefficient of kinetic friction is 0.1. Use g = 9.81 m/s². Find the acceleration a of the block along the slope.

m = 16 kgθ = 35°μ = 0.1g = 9.81 m/s²
a = m/s²
5.Hard
m1​ = 9.5 kg3.5 kgμ = 0.2

A 9.5 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 0.2. Use g = 9.81 m/s². Find the tension T in the string.

m1 = 9.5 kgm2 = 3.5 kgμ = 0.2g = 9.81 m/s²
T = N
6.Hard
θ = 25°blockv₀ = 9.5 m/s

A block is given a push so that it starts sliding up a ramp at 25° with a speed of 9.5 m/s. The coefficient of kinetic friction is 0.25. Use g = 9.81 m/s². How far d along the ramp does it slide before it stops?

v₀ = 9.5 m/sθ = 25°μ = 0.25g = 9.81 m/s²
d = m

Answer key

  1. 1. a = 1.363 m/s²
  2. 2. F = 138.1 N
  3. 3. F = 225.1 N
  4. 4. a = 4.823 m/s²
  5. 5. T = 30.11 N
  6. 6. d = 7.086 m

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