A 70 kg person stands on bathroom scales in a lift. The lift is moving downwards and slowing down at 2 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
Two blocks of 11 kg and 12 kg sit side by side on a frictionless floor. A horizontal force of 65 N pushes on the 11 kg block, which pushes the other one. Find the acceleration a of the blocks.
A 16 kg block slides down a frictionless slope at 40° to the horizontal. Use g = 9.81 m/s². Find the acceleration a of the block along the slope.
Masses of 9.5 kg and 0.5 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.
An 8.5 kg block on a horizontal table is connected by a light string over a frictionless pulley to a hanging 2.5 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 block is given a push so that it starts sliding up a ramp at 30° with a speed of 5.5 m/s. The coefficient of kinetic friction is 0.25. Use g = 9.81 m/s². How far d along the ramp does it slide before it stops?
Answer key
- 1. N = 826.7 N
- 2. a = 2.826 m/s²
- 3. a = 6.306 m/s²
- 4. a = 8.829 m/s²
- 5. a = 0.7135 m/s²
- 6. d = 2.152 m
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