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A person of mass 60 kg is inside a lift of mass 940 kg and presses the button on the control panel. The lift starts moving upwards with an acceleration 1.0 m/s². If g = 10 m/s², the tension in the supporting cable is

1. 8600N
2. 9680N
3. 11000N
4. 1200N

Correct answer: 9680N

Solution

The total mass of the system is 60 kg (person) + 940 kg (lift) = 1000 kg. The net force acting on the system is the sum of the gravitational force (mg) and the force due to the upward acceleration (ma). Tension T = m(g + a) = 1000 × (10 + 1) = 1000 × 11 = 11000 N.

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