1.Easy
Two blocks of 7 kg and 11 kg sit side by side on a frictionless floor. A horizontal force of 20 N pushes on the 7 kg block, which pushes the other one. Find the acceleration a of the blocks.
m1 = 7 kgm2 = 11 kgF = 20 N
a = m/s²
Newton’s laws worksheet with answers
2.Easy
A 60 kg crate is pulled across a floor by a horizontal rope. The coefficient of kinetic friction is 0.4. Use g = 9.81 m/s². What pulling force F gives the crate an acceleration of 0.5 m/s²?
m = 60 kgμ = 0.4a = 0.5 m/s²g = 9.81 m/s²
F = N
3.Medium
A 7 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 = 7 kgθ = 35°μ = 0.15g = 9.81 m/s²
a = m/s²
4.Medium
Masses of 8.5 kg and 4.5 kg hang on either side of a light, frictionless pulley, connected by a light string. The system is released from rest. Use g = 9.81 m/s². Find the acceleration a of the masses.
m1 = 8.5 kgm2 = 4.5 kgg = 9.81 m/s²
a = m/s²
5.Hard
A 1 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 0.2. Use g = 9.81 m/s². Find the tension T in the string.
m1 = 1 kgm2 = 5 kgμ = 0.2g = 9.81 m/s²
T = N
6.Hard
A 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 0.25. Use g = 9.81 m/s². Find the acceleration a of the system.
m1 = 5 kgm2 = 6 kgμ = 0.25g = 9.81 m/s²
a = m/s²
Answer key
- 1. a = 1.111 m/s²
- 2. F = 265.4 N
- 3. a = 4.421 m/s²
- 4. a = 3.018 m/s²
- 5. T = 9.81 N
- 6. a = 4.236 m/s²
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