A lift (elevator) moving vertically carries a passenger whose actual mass is

PHYSICS · Multi-part · AP · Physics 1: Algebra-based · Force and Translational Dynamics · Force and Translational Dynamics

Problem

A lift (elevator) moving vertically carries a passenger whose actual mass is 60 kg60\,\text{kg}. A spring balance fixed to the floor of the lift records the passenger’s apparent weight. (i) Calculate the apparent weight when the lift is accelerating upwards at 2 m/s22\,\text{m/s}^2. (ii) Calculate the apparent weight when the lift is accelerating downwards at 2 m/s22\,\text{m/s}^2. (iii) The supporting cable of the lift snaps and the lift falls freely under gravity. What reading will the spring balance show during this interval? (iv) Explain the physical reason for the answer obtained in part (iii) with reference to the concepts of weight and free fall.

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