(a)
The total weight of boat and people in newtons.
(a)
Answer to Problem 4SP
The total weight of boat and people in newtons is
Explanation of Solution
Given info: The length of the wooden box is
Write the expression to find the weight of the boat and people when the mass is given.
Here,
Substitute
Conclusion:
Therefore, the total weight of boat and people in newtons is
(b)
The buoyant force required to keep the boat and the people afloat.
(b)
Answer to Problem 4SP
The buoyant force required to keep the boat and the people afloat is
Explanation of Solution
Write the expression to find the buoyant force.
Here,
Substitute
Conclusion:
Therefore, the buoyant force required to keep the boat and the people afloat is
(c)
The volume of the water displaced to support the boat and the people in it.
(c)
Answer to Problem 4SP
The volume of the water displaced to support the boat and the people in it is
Explanation of Solution
Write the expression to find the volume of the boat.
Here,
Substitute
Write the expression to find the density of the boat.
Here,
Substitute
Write the expression to find the volume of the water displaced.
Here,
Substitute
Conclusion:
Therefore, the volume of the water displaced to support the boat and the people in it is
(d)
The height of the boat underwater.
(d)
Answer to Problem 4SP
The height of the boat underwater is
Explanation of Solution
Write the expression to equate the volume of boat immersed to the volume of the water displaced.
Here,
Substitute
Conclusion:
Therefore, the height of the boat underwater is
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Chapter 9 Solutions
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