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
1 kg7 kgF = 40 N

Two blocks of 1 kg and 7 kg sit side by side on a frictionless floor. A horizontal force of 40 N pushes on the 1 kg block, which pushes the other one. Find the force Fc that the first block exerts on the second.

m1 = 1 kgm2 = 7 kgF = 40 N
Fc = N
2.Easy
m = 12 kgF = 55 Nμ = 0.15a = ?

A 12 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 = 12 kgF = 55 Nμ = 0.15g = 9.81 m/s²
a = m/s²
3.Medium
boxv₀ = 3.5 m/sμ = ?

A box slides across a level floor with an initial speed of 3.5 m/s and comes to rest after 2.1 m. Use g = 9.81 m/s². Find the coefficient of kinetic friction μ.

v₀ = 3.5 m/sd = 2.1 mg = 9.81 m/s²
μ =
4.Medium
θ = 45°a = ?m = 19 kg

A 19 kg block slides down a frictionless slope at 45° to the horizontal. Use g = 9.81 m/s². Find the acceleration a of the block along the slope.

m = 19 kgθ = 45°μ = 0g = 9.81 m/s²
a = m/s²
5.Hard
θ = 20°blockv₀ = 5 m/s

A block is given a push so that it starts sliding up a ramp at 20° with a speed of 5 m/s. The coefficient of kinetic friction is 0.15. Use g = 9.81 m/s². How far d along the ramp does it slide before it stops?

v₀ = 5 m/sθ = 20°μ = 0.15g = 9.81 m/s²
d = m
6.Hard
m1​ = 7.5 kg5 kgμ = 0.1

A 7.5 kg block on a horizontal table is connected by a light string over a frictionless pulley to a hanging 5 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 = 7.5 kgm2 = 5 kgμ = 0.1g = 9.81 m/s²
a = m/s²

Answer key

  1. 1. Fc = 35 N
  2. 2. a = 3.112 m/s²
  3. 3. μ = 0.2973
  4. 4. a = 6.937 m/s²
  5. 5. d = 2.638 m
  6. 6. a = 3.335 m/s²

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