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 = 4 kgF = 45 Nμ = 0.2a = ?

A 4 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 = 4 kgF = 45 Nμ = 0.2g = 9.81 m/s²
a = m/s²
2.Easy
m = 16 kgF = 35 Nμ = 0.1a = ?

A 16 kg crate is pushed across a floor with a horizontal force of 35 N. The coefficient of kinetic friction is 0.1. Use g = 9.81 m/s². Find the acceleration a of the crate.

m = 16 kgF = 35 Nμ = 0.1g = 9.81 m/s²
a = m/s²
3.Medium
θ = 35°a = ?m = 19 kg

A 19 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 = 19 kgθ = 35°μ = 0.15g = 9.81 m/s²
a = m/s²
4.Medium
θ = 25°a = ?m = 20 kg

A 20 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 = 20 kgθ = 25°μ = 0.2g = 9.81 m/s²
a = m/s²
5.Hard
θ = 35°blockv₀ = 6.5 m/s

A block is given a push so that it starts sliding up a ramp at 35° with a speed of 6.5 m/s. The coefficient of kinetic friction is 0.15. Use g = 9.81 m/s². How far d along the ramp does it slide before it stops?

v₀ = 6.5 m/sθ = 35°μ = 0.15g = 9.81 m/s²
d = m
6.Hard
m1​ = 6.5 kg5.5 kgno friction

A 6.5 kg block on a horizontal table is connected by a light string over a frictionless pulley to a hanging 5.5 kg mass. The table is frictionless. Use g = 9.81 m/s². Find the tension T in the string.

m1 = 6.5 kgm2 = 5.5 kgμ = 0g = 9.81 m/s²
T = N

Answer key

  1. 1. a = 9.288 m/s²
  2. 2. a = 1.206 m/s²
  3. 3. a = 4.421 m/s²
  4. 4. a = 2.368 m/s²
  5. 5. d = 3.092 m
  6. 6. T = 29.23 N

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