A 100 kg person stands on bathroom scales in a lift. The lift starts moving downwards with an acceleration of 1.5 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 55 kg person stands on bathroom scales in a lift. The lift is moving downwards and slowing down at 3 m/s². Use g = 9.81 m/s². Find the force N the scales exert on the person (the scale reading in newtons).
Masses of 5 kg and 3 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.
A 12 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 7.5 kg block on a ramp at 35° is connected by a light string over a frictionless pulley at the top of the ramp to a hanging 6 kg mass. The hanging mass moves down. The ramp is frictionless. 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 3.5 kg mass. The coefficient of kinetic friction between block and table is 0.25. Use g = 9.81 m/s². Find the tension T in the string.
Answer key
- 1. N = 831 N
- 2. N = 704.6 N
- 3. a = 2.453 m/s²
- 4. a = 6.937 m/s²
- 5. a = 1.234 m/s²
- 6. T = 19.81 N
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