(a)
The distance moved by person J to reach the lowest point.
(a)
Answer to Problem 116P
The distance moved by person J to reach the lowest point is
Explanation of Solution
Figure 1 represents the motion of person J.
Here,
Conclusion:
Refer Figure 1.
Write an expression for
Rewrite equation (I) to find
Thus, the distance moved by person J to reach the lowest point is
(b)
The speed of person J at the lowest point.
(b)
Answer to Problem 116P
The speed of person J at the lowest point is
Explanation of Solution
Write an expression to calculate the conservation of mechanical energy of person J.
Here,
Rearrange the equation (I) to find
Conclusion:
Substitute
Thus, the speed of person J at the lowest point is
(c)
The height at which person J can swing about the lowest point.
(c)
Answer to Problem 116P
The height at which person J can swing about the lowest point is
Explanation of Solution
Write an expression to calculate the conservation of mechanical energy of person J.
Rearrange the equation (III) to find
Conclusion:
Substitute
Thus, the height at which person J can swing about the lowest point is
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