Concept explainers
What will a spring scale read for the weight of a 58.0-kg woman in an elevator that moves (a) upward with constant speed 5.0 m/s, (b) downward with constant speed 5.0 m/s, (c) with an upward acceleration 0.23 g, (d) with a downward acceleration 0.23 g,and (e) in free fall?
Part (a)
The spring scale reading for the weight of awoman in an elevator when it moves upward with a constant speed of
Answer to Problem 50P
Solution:
The spring scale will read a value of
Explanation of Solution
Given:
The speed of the elevator,
Mass of the woman in the elevator,
Formula Used:
Where
Calculation:
Substitute all the values and solve:
Conclusion:
Therefore, the spring scale will read a value of
Part (b)
The spring scale reading for the weight of a woman in an elevator when it moves downward with a constant speed of
Answer to Problem 50P
Solution:
The spring scale will read a value of
Explanation of Solution
Given:
The speed of the elevator,
Mass of the woman in the elevator,
Formula Used:
Where
Calculation:
Substitute all the values and solve:
Conclusion:
Therefore, the spring scale will read a value of
Part (c)
The spring scale reading for the weight of awoman in an elevator when it moves with an upward acceleration of
Answer to Problem 50P
Solution:
The spring scale will read a value of
Explanation of Solution
Given:
Upward acceleration of the elevator,
Mass of the woman in the elevator,
Formula Used:
Where
Calculation:
Substitute all the values and solve:
Conclusion:
Therefore, The spring scale will read a value of
Part (d)
The spring scale reading for the weight of a woman in an elevator when it moves with a downward acceleration of
Answer to Problem 50P
Solution:
The spring scale will read a value of
Explanation of Solution
Given:
Downward acceleration of the elevator,
Mass of the woman in the elevator,
Formula Used:
Where
Calculation:
Substitute all the values and solve:
Conclusion:
Therefore, the spring scale will read a value of
Part (e)
The spring scale reading for the weight of awoman in an elevator when it freely falls.
Answer to Problem 50P
Solution:
The spring scale will read a value of
Explanation of Solution
Given:
The speed of the elevator,
Mass of the woman in the elevator,
Formula Used:
Where
Calculation:
For a free fall, the acceleration is equal to the value of
Substitute all the values and solve:
Conclusion:
Therefore, the spring scale will read a value of
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