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 = 30 kgF = 130 Nμ = 0.25a = ?

A 30 kg crate is pushed across a floor with a horizontal force of 130 N. The coefficient of kinetic friction is 0.25. Use g = 9.81 m/s². Find the acceleration a of the crate.

m = 30 kgF = 130 Nμ = 0.25g = 9.81 m/s²
a = m/s²
2.Easy
m = 20 kgF = 45 Nμ = 0.2a = ?

A 20 kg crate is pushed across a floor with a horizontal force of 45 N. The coefficient of kinetic friction is 0.2. Use g = 9.81 m/s². Find the acceleration a of the crate.

m = 20 kgF = 45 Nμ = 0.2g = 9.81 m/s²
a = m/s²
3.Medium
25 kg35°F = 190 Nμ = 0.2

A 25 kg sled is pulled across level snow by a rope at 35° above the horizontal with a force of 190 N. The coefficient of kinetic friction is 0.2. Use g = 9.81 m/s². Find the acceleration a of the sled.

m = 25 kgF = 190 Nθ = 35°μ = 0.2g = 9.81 m/s²
a = m/s²
4.Medium
θ = 25°a = ?m = 6 kg

A 6 kg block slides down a slope at 25° 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 = 6 kgθ = 25°μ = 0.2g = 9.81 m/s²
a = m/s²
5.Hard
m1​ = 3.5 kg10 kgθ = 20°

A 3.5 kg block on a ramp at 20° is connected by a light string over a frictionless pulley at the top of the ramp to a hanging 10 kg mass. The hanging mass moves down. The coefficient of kinetic friction between block and ramp is 0.25. Use g = 9.81 m/s². Find the acceleration a of the system.

m1 = 3.5 kgm2 = 10 kgθ = 20°μ = 0.25g = 9.81 m/s²
a = m/s²
6.Hard
m1​ = 6.5 kg1 kgμ = 0.1

A 6.5 kg block on a horizontal table is connected by a light string over a frictionless pulley to a hanging 1 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 = 6.5 kgm2 = 1 kgμ = 0.1g = 9.81 m/s²
T = N

Answer key

  1. 1. a = 1.881 m/s²
  2. 2. a = 0.288 m/s²
  3. 3. a = 5.135 m/s²
  4. 4. a = 2.368 m/s²
  5. 5. a = 5.799 m/s²
  6. 6. T = 9.352 N

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