A 100 kg person stands on bathroom scales in a lift. The lift starts moving upwards with an acceleration of 2.5 m/s². Use g = 9.81 m/s². Find the force N the scales exert on the person (the scale reading in newtons).
Newton’s laws worksheet with answers
A 10 kg crate is pushed across a floor with a horizontal force of 75 N. The coefficient of kinetic friction is 0.4. Use g = 9.81 m/s². Find the acceleration a of the crate.
A 19 kg block slides down a frictionless slope at 35° to the horizontal. Use g = 9.81 m/s². Find the acceleration a of the block along the slope.
A 17 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.
A 6.5 kg block on a horizontal table is connected by a light string over a frictionless pulley to a hanging 2 kg mass. The coefficient of kinetic friction between block and table is 0.2. Use g = 9.81 m/s². Find the acceleration a of the system.
A 3 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 tension T in the string.
Answer key
- 1. N = 1231 N
- 2. a = 3.576 m/s²
- 3. a = 5.627 m/s²
- 4. a = 6.937 m/s²
- 5. a = 0.8079 m/s²
- 6. T = 20.23 N
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