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 = ?2.5 m/s²v

A 55 kg person stands on bathroom scales in a lift. The lift starts moving downwards with an acceleration of 2.5 m/s². Use g = 9.81 m/s². Find the force N the scales exert on the person (the scale reading in newtons).

m = 55 kga = 2.5 m/s²g = 9.81 m/s²
N = N
2.Easy
m = 20 kgF = 95 Nμ = 0.25a = ?

A 20 kg crate is pushed across a floor with a horizontal force of 95 N. The coefficient of kinetic friction is 0.25. Use g = 9.81 m/s². Find the acceleration a of the crate.

m = 20 kgF = 95 Nμ = 0.25g = 9.81 m/s²
a = m/s²
3.Medium
θ = 35°a = ?m = 6 kg

A 6 kg block slides down a frictionless slope at 35° to the horizontal. Use g = 9.81 m/s². Find the acceleration a of the block along the slope.

m = 6 kgθ = 35°μ = 0g = 9.81 m/s²
a = m/s²
4.Medium
35 kg25°F = 180 Nμ = 0.4

A 35 kg sled is pulled across level snow by a rope at 25° above the horizontal with a force of 180 N. The coefficient of kinetic friction is 0.4. Use g = 9.81 m/s². Find the acceleration a of the sled.

m = 35 kgF = 180 Nθ = 25°μ = 0.4g = 9.81 m/s²
a = m/s²
5.Hard
m1​ = 1 kg0.5 kgμ = 0.2

A 1 kg block on a horizontal table is connected by a light string over a frictionless pulley to a hanging 0.5 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 = 1 kgm2 = 0.5 kgμ = 0.2g = 9.81 m/s²
T = N
6.Hard
θ = 35°blockv₀ = 5 m/s

A block is given a push so that it starts sliding up a ramp at 35° with a speed of 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 = 5 m/sθ = 35°μ = 0.25g = 9.81 m/s²
d = m

Answer key

  1. 1. N = 402.1 N
  2. 2. a = 2.297 m/s²
  3. 3. a = 5.627 m/s²
  4. 4. a = 1.606 m/s²
  5. 5. T = 3.924 N
  6. 6. d = 1.637 m

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