Concept explainers
When you are at rest and supported by a pair of weighing scales, how does the sum of the scale readings compare with your weight?
To compare:The reading on the scales and the person’s weight.
Answer to Problem 13A
The weight of a person is equivalent to the sum of the scale readings.
Explanation of Solution
Given:
A person is at rest and is supported by a weighing scales pair.
Formula used:
The expression for the weight is,
Here,
Calculation:
Consider the mass of the person as
At equilibrium condition, the net force on the system is equal to zero. So, the reading on the scale while hanging is,
The sum of the reading on the scale is same as the weight of the person.
Conclusion:
Thus, the weight of person is equivalent to the sum of the scale readings.
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