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
7 kg8 kgF = 35 N

Two blocks of 7 kg and 8 kg sit side by side on a frictionless floor. A horizontal force of 35 N pushes on the 7 kg block, which pushes the other one. Find the force Fc that the first block exerts on the second.

m1 = 7 kgm2 = 8 kgF = 35 N
Fc = N
2.Easy
N = ?2.5 m/s²v

A 60 kg person stands on bathroom scales in a lift. The lift starts moving upwards 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 = 60 kga = 2.5 m/s²g = 9.81 m/s²
N = N
3.Medium
θ = 20°a = ?m = 8 kg

An 8 kg block slides down a slope at 20° 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 = 8 kgθ = 20°μ = 0.1g = 9.81 m/s²
a = m/s²
4.Medium
θ = 40°a = ?m = 8 kg

An 8 kg block slides down a slope at 40° 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 = 8 kgθ = 40°μ = 0.15g = 9.81 m/s²
a = m/s²
5.Hard
θ = 15°blockv₀ = 3.5 m/s

A block is given a push so that it starts sliding up a ramp at 15° with a speed of 3.5 m/s. The coefficient of kinetic friction is 0.1. Use g = 9.81 m/s². How far d along the ramp does it slide before it stops?

v₀ = 3.5 m/sθ = 15°μ = 0.1g = 9.81 m/s²
d = m
6.Hard
m1​ = 6.5 kg4.5 kgθ = 30°

A 6.5 kg block on a ramp at 30° is connected by a light string over a frictionless pulley at the top of the ramp to a hanging 4.5 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 = 4.5 kgθ = 30°μ = 0g = 9.81 m/s²
a = m/s²

Answer key

  1. 1. Fc = 18.67 N
  2. 2. N = 738.6 N
  3. 3. a = 2.433 m/s²
  4. 4. a = 5.179 m/s²
  5. 5. d = 1.757 m
  6. 6. a = 1.115 m/s²

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