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 = 2 kgF = 60 Nμ = 0.15a = ?

A 2 kg crate is pushed across a floor with a horizontal force of 60 N. The coefficient of kinetic friction is 0.15. Use g = 9.81 m/s². Find the acceleration a of the crate.

m = 2 kgF = 60 Nμ = 0.15g = 9.81 m/s²
a = m/s²
2.Easy
3 kg4 kgF = 75 N

Two blocks of 3 kg and 4 kg sit side by side on a frictionless floor. A horizontal force of 75 N pushes on the 3 kg block, which pushes the other one. Find the force Fc that the first block exerts on the second.

m1 = 3 kgm2 = 4 kgF = 75 N
Fc = N
3.Medium
θ = 20°a = ?m = 2 kg

A 2 kg block slides down a frictionless slope at 20° to the horizontal. Use g = 9.81 m/s². Find the acceleration a of the block along the slope.

m = 2 kgθ = 20°μ = 0g = 9.81 m/s²
a = m/s²
4.Medium
θ = 35°a = ?m = 13 kg

A 13 kg block slides down a slope at 35° to the horizontal. The coefficient of kinetic friction is 0.15. Use g = 9.81 m/s². Find the acceleration a of the block along the slope.

m = 13 kgθ = 35°μ = 0.15g = 9.81 m/s²
a = m/s²
5.Hard
m1​ = 9.5 kg4.5 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 4.5 kg mass. The coefficient of kinetic friction between block and table is 0.2. Use g = 9.81 m/s². Find the acceleration a of the system.

m1 = 9.5 kgm2 = 4.5 kgμ = 0.2g = 9.81 m/s²
a = m/s²
6.Hard
m1​ = 4.5 kg3 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 3 kg mass. The coefficient of kinetic friction between block and table is 0.1. Use g = 9.81 m/s². Find the acceleration a of the system.

m1 = 4.5 kgm2 = 3 kgμ = 0.1g = 9.81 m/s²
a = m/s²

Answer key

  1. 1. a = 28.53 m/s²
  2. 2. Fc = 42.86 N
  3. 3. a = 3.355 m/s²
  4. 4. a = 4.421 m/s²
  5. 5. a = 1.822 m/s²
  6. 6. a = 3.335 m/s²

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