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The mass of a lift is 2000 kg. When the tension in the supporting cable is 28000 N, then its acceleration is:

1. 4 m/s² upwards
2. 4 m/s² downwards
3. 14 m/s² upwards
4. 30 m/s² downwards

Correct answer: 4 m/s² upwards

Solution

The net force acting on the lift is the tension minus the gravitational force (T - mg). Using Newton's second law, F = ma, we get a = (T - mg)/m = (28000 - 2000×10)/2000 = 4 m/s² upwards.

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