Concept explainers
(a)
The average power produced for the first second.
(a)
Answer to Problem 96A
The average power produced for the first second is
Explanation of Solution
Given:
The mass of sprinter is
The total distance of the race is
The time period is
Formula used:
The expression for the work done is,
Here,
The expression for the power is,
Here,
Calculation:
Consider the initial displacement and the initial velocity as zero.
The final velocity is,
The acceleration of the sprinter using the relation is,
The displacement of the sprinter for the first second is,
The average power produced for the first second is,
Conclusion:
Thus, the average power produced for that first second is
(b)
The maximum power generated by the sprinter.
(b)
Answer to Problem 96A
The maximum power generated by the sprinter is
Explanation of Solution
Given:
The mass of sprinter is
The displacement is
The time period is
Calculation:
From part (a), the sprinter’s average power for the race is
The maximum power developed by the sprinter is,
Conclusion:
Thus, the maximum power generated by the sprinter is
Chapter 10 Solutions
Glencoe Physics: Principles and Problems, Student Edition
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