Concept explainers
Check Your Understanding Now calculate the scale reading when the elevator accelerates downward at a rate of
The reading on the scale when elevator accelerates downward with magnitude
Answer to Problem 6.1CYU
The reading on the scale in the elevator is
Explanation of Solution
Given info:
Mass of the person,
Acceleration of the elevator in downward direction,
Formula used:
By 2nd law of motion,
Net force on the object is defined as
Calculation:
Here is the free-body diagram for that person who is going downward (negative direction of Y) with acceleration
In the free-body diagram,
Since the weight of the person =
Since the person’s acceleration is downward, so, the net force on the person would be downward.
The net force on the person,
Now, by the 2nd law of motion,
Since, all quantities are in the same line (along the y-axis), so, for instance, we ignore the vector notation, we just write its magnitude,
So,
Substitute
Conclusion:
Thus, the reading of scale on the elevator for the person is
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