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
60 kgF = ?a = 2.5 m/s²μ = 0.2

A 60 kg crate is pulled across a floor by a horizontal rope. The coefficient of kinetic friction is 0.2. Use g = 9.81 m/s². What pulling force F gives the crate an acceleration of 2.5 m/s²?

m = 60 kgμ = 0.2a = 2.5 m/s²g = 9.81 m/s²
F = N
2.Easy
9 kg6 kgF = 30 N

Two blocks of 9 kg and 6 kg sit side by side on a frictionless floor. A horizontal force of 30 N pushes on the 9 kg block, which pushes the other one. Find the force Fc that the first block exerts on the second.

m1 = 9 kgm2 = 6 kgF = 30 N
Fc = N
3.Medium
θ = 20°a = ?m = 11 kg

An 11 kg block slides down a slope at 20° to the horizontal. The coefficient of kinetic friction is 0.3. Use g = 9.81 m/s². Find the acceleration a of the block along the slope.

m = 11 kgθ = 20°μ = 0.3g = 9.81 m/s²
a = m/s²
4.Medium
θ = 40°a = ?m = 2 kg

A 2 kg block slides down a slope at 40° 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 = 2 kgθ = 40°μ = 0.1g = 9.81 m/s²
a = m/s²
5.Hard
m1​ = 5.5 kg3 kgno friction

A 5.5 kg block on a horizontal table is connected by a light string over a frictionless pulley to a hanging 3 kg mass. The table is frictionless. Use g = 9.81 m/s². Find the tension T in the string.

m1 = 5.5 kgm2 = 3 kgμ = 0g = 9.81 m/s²
T = N
6.Hard
m1​ = 5.5 kg6 kgμ = 0.1

A 5.5 kg block on a horizontal table is connected by a light string over a frictionless pulley to a hanging 6 kg mass. The coefficient of kinetic friction between block and table is 0.1. Use g = 9.81 m/s². Find the acceleration a of the system.

m1 = 5.5 kgm2 = 6 kgμ = 0.1g = 9.81 m/s²
a = m/s²

Answer key

  1. 1. F = 267.7 N
  2. 2. Fc = 12 N
  3. 3. a = 0.5897 m/s²
  4. 4. a = 5.554 m/s²
  5. 5. T = 19.04 N
  6. 6. a = 4.649 m/s²

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