An 80 kg person stands on bathroom scales in a lift. The lift starts moving downwards with an acceleration of 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 1 kg and 7 kg sit side by side on a frictionless floor. A horizontal force of 35 N pushes on the 1 kg block, which pushes the other one. Find the force Fc that the first block exerts on the second.
A 9 kg block slides down a slope at 45° to the horizontal. The coefficient of kinetic friction is 0.3. Use g = 9.81 m/s². Find the acceleration a of the block along the slope.
A 10 kg sled is pulled across level snow by a rope at 35° above the horizontal with a force of 70 N. The coefficient of kinetic friction is 0.4. Use g = 9.81 m/s². Find the acceleration a of the sled.
A 1 kg block on a horizontal table is connected by a light string over a frictionless pulley to a hanging 4.5 kg mass. The coefficient of kinetic friction between block and table is 0.3. Use g = 9.81 m/s². Find the acceleration a of the system.
Two blocks on a level floor are joined by a light horizontal string. A horizontal force of 105 N pulls the front 11 kg block; the 8 kg block is towed behind. The coefficient of kinetic friction is 0.25 for both blocks. Use g = 9.81 m/s². Find the acceleration a of the blocks.
Answer key
- 1. N = 624.8 N
- 2. Fc = 30.63 N
- 3. a = 4.856 m/s²
- 4. a = 3.416 m/s²
- 5. a = 7.491 m/s²
- 6. a = 3.074 m/s²
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