Concept explainers
To Draw: The free body diagram.
To Find: The effect on the apparent weight of the dog under given circumstances.
Answer to Problem 10STP
Free body diagram
Explanation of Solution
Given:
Let, the mass of the dog
Acceleration of the elevator
Gravitational acceleration
Normal force on the dog
Formula used:
Newton’s law of motion:
Where,
Calculation:
Free body diagram of the dog sitting on the scale
When elevator is in rest
Acceleration is zero.
In this case apparent weight of the dog is the actual weight of the dog.
Case 1: when elevator accelerates upward
The net force on the dog is acting upward
In this case apparent weight is more than actual weight.
Case 2: When the elevator travels at a constant speed downward.
In this case acceleration is zero.
Therefore, net force on the dog is also zero.
In this case apparent weight of the dog is the actual weight of the dog.
Case 3: when the elevator falls freely downward
In this case acceleration,
In this case the weight of the body is zero.
Conclusion:
Apparent weight is more than the actual weight when the elevator accelerates in upward direction.
Apparent weight is equal to actual weight when the elevator goes down with constant velocity.
Apparent weight is equal to zero during the free fall.
Chapter 4 Solutions
Glencoe Physics: Principles and Problems, Student Edition
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