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
5 kg2 kgF = 80 N

Two blocks of 5 kg and 2 kg sit side by side on a frictionless floor. A horizontal force of 80 N pushes on the 5 kg block, which pushes the other one. Find the force Fc that the first block exerts on the second.

m1 = 5 kgm2 = 2 kgF = 80 N
Fc = N
2.Easy
m = 2 kgF = 25 Nμ = 0.3a = ?

A 2 kg crate is pushed across a floor with a horizontal force of 25 N. The coefficient of kinetic friction is 0.3. Use g = 9.81 m/s². Find the acceleration a of the crate.

m = 2 kgF = 25 Nμ = 0.3g = 9.81 m/s²
a = m/s²
3.Medium
θ = 35°a = ?m = 10 kg

A 10 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 = 10 kgθ = 35°μ = 0.15g = 9.81 m/s²
a = m/s²
4.Medium
θ = 20°a = ?m = 16 kg

A 16 kg block slides down a slope at 20° to the horizontal. The coefficient of kinetic friction is 0.25. Use g = 9.81 m/s². Find the acceleration a of the block along the slope.

m = 16 kgθ = 20°μ = 0.25g = 9.81 m/s²
a = m/s²
5.Hard
10 kg3 kgTF = 110 Nμ = 0.2

Two blocks on a level floor are joined by a light horizontal string. A horizontal force of 110 N pulls the front 3 kg block; the 10 kg block is towed behind. The coefficient of kinetic friction is 0.2 for both blocks. Use g = 9.81 m/s². Find the tension T in the connecting string.

m1 = 10 kgm2 = 3 kgF = 110 Nμ = 0.2g = 9.81 m/s²
T = N
6.Hard
θ = 15°blockv₀ = 8 m/s

A block is given a push so that it starts sliding up a ramp at 15° with a speed of 8 m/s. The coefficient of kinetic friction is 0.2. Use g = 9.81 m/s². How far d along the ramp does it slide before it stops?

v₀ = 8 m/sθ = 15°μ = 0.2g = 9.81 m/s²
d = m

Answer key

  1. 1. Fc = 22.86 N
  2. 2. a = 9.557 m/s²
  3. 3. a = 4.421 m/s²
  4. 4. a = 1.051 m/s²
  5. 5. T = 84.62 N
  6. 6. d = 7.217 m

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