1.Easy
A 38 kg crate is pushed across a floor with a horizontal force of 105 N. The coefficient of kinetic friction is 0.25. Use g = 9.81 m/s². Find the acceleration a of the crate.
m = 38 kgF = 105 Nμ = 0.25g = 9.81 m/s²
a = m/s²
Newton’s laws worksheet with answers
2.Easy
A 10 kg crate is pulled across a floor by a horizontal rope. The coefficient of kinetic friction is 0.3. Use g = 9.81 m/s². What pulling force F gives the crate an acceleration of 0.5 m/s²?
m = 10 kgμ = 0.3a = 0.5 m/s²g = 9.81 m/s²
F = N
3.Medium
A 20 kg box is pushed up a ramp at 25° to the horizontal at constant speed, by a force parallel to the ramp. The coefficient of kinetic friction is 0.2. Use g = 9.81 m/s². Find the pushing force F.
m = 20 kgθ = 25°μ = 0.2g = 9.81 m/s²
F = N
4.Medium
A 5 kg block slides down a frictionless slope at 45° to the horizontal. Use g = 9.81 m/s². Find the acceleration a of the block along the slope.
m = 5 kgθ = 45°μ = 0g = 9.81 m/s²
a = m/s²
5.Hard
A block is given a push so that it starts sliding up a ramp at 30° with a speed of 10 m/s. The coefficient of kinetic friction is 0.3. Use g = 9.81 m/s². How far d along the ramp does it slide before it stops?
v₀ = 10 m/sθ = 30°μ = 0.3g = 9.81 m/s²
d = m
6.Hard
A 9 kg block on a horizontal table is connected by a light string over a frictionless pulley to a hanging 5 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 = 9 kgm2 = 5 kgμ = 0.1g = 9.81 m/s²
a = m/s²
Answer key
- 1. a = 0.3107 m/s²
- 2. F = 34.43 N
- 3. F = 118.5 N
- 4. a = 6.937 m/s²
- 5. d = 6.708 m
- 6. a = 2.873 m/s²
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