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
N = ?1 m/s²v

A 70 kg person stands on bathroom scales in a lift. The lift is moving upwards and slowing down at 1 m/s². Use g = 9.81 m/s². Find the force N the scales exert on the person (the scale reading in newtons).

m = 70 kga = 1 m/s²g = 9.81 m/s²
N = N
2.Easy
m = 32 kgF = 50 Nμ = 0.1a = ?

A 32 kg crate is pushed across a floor with a horizontal force of 50 N. The coefficient of kinetic friction is 0.1. Use g = 9.81 m/s². Find the acceleration a of the crate.

m = 32 kgF = 50 Nμ = 0.1g = 9.81 m/s²
a = m/s²
3.Medium
boxv₀ = 8 m/sμ = ?

A box slides across a level floor with an initial speed of 8 m/s and comes to rest after 16 m. Use g = 9.81 m/s². Find the coefficient of kinetic friction μ.

v₀ = 8 m/sd = 16 mg = 9.81 m/s²
μ =
4.Medium
θ = 30°a = ?m = 13 kg

A 13 kg block slides down a slope at 30° to the horizontal. The coefficient of kinetic friction is 0.2. Use g = 9.81 m/s². Find the acceleration a of the block along the slope.

m = 13 kgθ = 30°μ = 0.2g = 9.81 m/s²
a = m/s²
5.Hard
m1​ = 5.5 kg1.5 kgμ = 0.2

A 5.5 kg block on a horizontal table is connected by a light string over a frictionless pulley to a hanging 1.5 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 = 5.5 kgm2 = 1.5 kgμ = 0.2g = 9.81 m/s²
a = m/s²
6.Hard
m1​ = 6.5 kg5.5 kgθ = 35°

A 6.5 kg block on a ramp at 35° is connected by a light string over a frictionless pulley at the top of the ramp to a hanging 5.5 kg mass. The hanging mass moves down. The ramp is frictionless. Use g = 9.81 m/s². Find the acceleration a of the system.

m1 = 6.5 kgm2 = 5.5 kgθ = 35°μ = 0g = 9.81 m/s²
a = m/s²

Answer key

  1. 1. N = 616.7 N
  2. 2. a = 0.5815 m/s²
  3. 3. μ = 0.2039
  4. 4. a = 3.206 m/s²
  5. 5. a = 0.5606 m/s²
  6. 6. a = 1.448 m/s²

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