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Chapter 5: Q18. (page 131)

When will your apparent weight be the greatest, as measured by a scale in a moving elevator. when the elevator (a) accelerates downward, (b) accelerates upward, (c) is in free fall, or (d) moves upward at constant speed? (e) In which case would your apparent weight be the least? (f) When would it be the same as when you are on the ground? Explain.

Short Answer

Expert verified

The apparent weight will be greatest, when the elevator is accelerating upwards and the apparent weight will be lowest, when the elevator is in free falling.

Step by step solution

01

Step 1. Understanding apparent weight

The apparent weight of any particular body varies by the change in direction of acceleration. In upward acceleration, the apparent weight rises, whereas in downward acceleration it reduces.

02

Step 2. Evaluating the greatest apparent weight in a moving elevator

When the elevator is accelerating upwards, the total force on the body will be in an upward direction. So, the normal force exerted on the body will be higher than its weight, and the reading scale will indicate the greatest apparent weight.

Thus, option (b) is the correct answer.

03

Step 3. Evaluating the least apparent weight in a moving elevator

When the elevator is in free-fall motion, the body, as well as the elevator, is accelerating in the downward direction, which means that the normal force will be zero. Hence, the apparent weight is equal to zero.

04

Step 4. Evaluating the apparent weight in a moving elevator

When the elevator is accelerating in the upward direction with a constant speed, then the normal force (N) on the body is equivalent to the body's weight (mg). So, in this condition, the apparent weight of the body will be the same as standing on the ground.

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