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Chapter 6: Q.6 (page 153)

An elevator, hanging from a single cable, moves downward and is slowing. Friction and air resistance are negligible. Is the tension in the cable greater than, less than, or equal to the gravitational force on the elevator? Explain. Include a free-body diagram as part of your explanation.

Short Answer

Expert verified

The tension in the cable is greater than the gravitational force on the elevator.

Step by step solution

01

Free body Diagram.

An elevator weighs F⇀Ghaving a single cable of tension T⇀is shown in free body diagram. The net forceF⇀Net acting upwards are also indicated in the free body diagram.

02

Explanation about cable tension

The elevator travels downwards because the elevator is slowing down its acceleration is in the opposite direction from its motion. Therefore, the net force on the elevator is upward and the tension is greater than the weight(T⇀>F⇀G).

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