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
m = 32 kgF = 110 Nμ = 0.15a = ?

A 32 kg crate is pushed across a floor with a horizontal force of 110 N. The coefficient of kinetic friction is 0.15. Use g = 9.81 m/s². Find the acceleration a of the crate.

m = 32 kgF = 110 Nμ = 0.15g = 9.81 m/s²
a = m/s²
2.Easy
m = 10 kgF = 40 Nμ = 0.25a = ?

A 10 kg crate is pushed across a floor with a horizontal force of 40 N. The coefficient of kinetic friction is 0.25. Use g = 9.81 m/s². Find the acceleration a of the crate.

m = 10 kgF = 40 Nμ = 0.25g = 9.81 m/s²
a = m/s²
3.Medium
θ = 45°a = ?m = 2 kg

A 2 kg block slides down a slope at 45° 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 = 2 kgθ = 45°μ = 0.2g = 9.81 m/s²
a = m/s²
4.Medium
boxv₀ = 4.5 m/sμ = ?

A box slides across a level floor with an initial speed of 4.5 m/s and comes to rest after 3.4 m. Use g = 9.81 m/s². Find the coefficient of kinetic friction μ.

v₀ = 4.5 m/sd = 3.4 mg = 9.81 m/s²
μ =
5.Hard
m1​ = 3.5 kg3.5 kgμ = 0.1

A 3.5 kg block on a horizontal table is connected by a light string over a frictionless pulley to a hanging 3.5 kg mass. The coefficient of kinetic friction between block and table is 0.1. Use g = 9.81 m/s². Find the tension T in the string.

m1 = 3.5 kgm2 = 3.5 kgμ = 0.1g = 9.81 m/s²
T = N
6.Hard
4 kg5 kgTF = 70 Nμ = 0.15

Two blocks on a level floor are joined by a light horizontal string. A horizontal force of 70 N pulls the front 5 kg block; the 4 kg block is towed behind. The coefficient of kinetic friction is 0.15 for both blocks. Use g = 9.81 m/s². Find the tension T in the connecting string.

m1 = 4 kgm2 = 5 kgF = 70 Nμ = 0.15g = 9.81 m/s²
T = N

Answer key

  1. 1. a = 1.966 m/s²
  2. 2. a = 1.547 m/s²
  3. 3. a = 5.549 m/s²
  4. 4. μ = 0.3036
  5. 5. T = 18.88 N
  6. 6. T = 31.11 N

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