Concept explainers
(a)
To Evaluate: The distance the boy from the dock when he reaches the bow.
(a)
Answer to Problem 36P
3.6 m
Explanation of Solution
Given:
Mass of boy is
Mass of canoe is
Distance between the boy and bow of canoe is
Center of canoe is
Formula used:
The x -coordinate position of center of mass can be calculated by the following formula:
Here
Calculation:
The x -coordinate for the center of mass is calculated as follows:
Substituting
Now assuming that the boy moves by a distance of
as the boy moves towards the bow, the center of mass of the system would be as follows:
Substituting:
Conclusion:
As the boy moves towards the bow, the distance between the boy and dock is 3.6 m.
(b)
Whether the canoe is moving or not.
(b)
Explanation of Solution
Introduction:
The x-coordinate position of center of mass can be calculated by the following formula:
Here
It has been shown that there is no external force acting on the system, and no friction between water and canoe. Hence, the canoe does not move, since the system’s position of center of mass does not change.
The coordinate for center of mass is calculated as follows:
Substituting
As the center of mass of the system remains the same, the canoe does not move under the given conditions.
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