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Q.5

Expert-verified
Found in: Page 153

### Physics for Scientists and Engineers: A Strategic Approach with Modern Physics

Book edition 4th
Author(s) Randall D. Knight
Pages 1240 pages
ISBN 9780133942651

# An elevator, hanging from a single cable, moves upward at constant speed. 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.

An elevator on a single cable moves steadily upward until the cable's tension equals the elevator's gravitational pull.

See the step by step solution

## Step 1: Introduction

(1) Tension force in the upwards-pointing orientation of the cable.
(2) Gravitational force a force acting on a vertically downward-pointing elevator.

## Step 2: Explanation

The diagram is represented as:

## Step 3: Explanation

We can write the expressions as :

When the elevator is travelling at a constant pace in the upward direction, it is said to be accelerating
When an elevator is travelling higher, the forces operating on the elevator are as follows:(1) The cable has a tension force pointing up.(2) Gravitational force the cable has a tension force pointing up.

As a result, an elevator suspended on a single cable climbs upward at a constant pace, and the tension force in the cable equals the elevator's gravitational pull.