A 70 kg person stands on bathroom scales in a lift. The lift is moving upwards and slowing down at 1 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 32 kg crate is pushed across a floor with a horizontal force of 50 N. The coefficient of kinetic friction is 0.1. Use g = 9.81 m/s². Find the acceleration a of the crate.
A box slides across a level floor with an initial speed of 8 m/s and comes to rest after 16 m. Use g = 9.81 m/s². Find the coefficient of kinetic friction μ.
A 13 kg block slides down a slope at 30° to the horizontal. The coefficient of kinetic friction is 0.2. Use g = 9.81 m/s². Find the acceleration a of the block along the slope.
A 5.5 kg block on a horizontal table is connected by a light string over a frictionless pulley to a hanging 1.5 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 6.5 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 5.5 kg mass. The hanging mass moves down. The ramp is frictionless. Use g = 9.81 m/s². Find the acceleration a of the system.
Answer key
- 1. N = 616.7 N
- 2. a = 0.5815 m/s²
- 3. μ = 0.2039
- 4. a = 3.206 m/s²
- 5. a = 0.5606 m/s²
- 6. a = 1.448 m/s²
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