Answer :
We use the formula, to calculate the volume of water displaced by concrete canoe,
[tex]V =\frac{W}{\gamma }[/tex]
Here, W is the weight of concrete canoe and [tex]\gamma[/tex] is the specific weight of water and its value is [tex]62.4\ lb/ft^3[/tex].
So,
[tex]V =\frac{ 147\ lb}{62.4\ lb/ft^3}=2.356\ ft^3[/tex].
Now the volume of water occupied in ultra lightweight kevlar canoe,
[tex]v=\frac{w}{\gamma}[/tex]
Here, w is weight of kevlar canoe.
So,
[tex]v=\frac{38\ lb}{62.4\ lb/ft^3} =0.6089\ ft^3[/tex]
Thus, the volume of water displaced,
[tex]=V-v=2.356\ ft^3-0.6089\ ft^3=2.19\ ft^3[/tex].
Hence, the volume of water displaced canoe compared to an ultra-lightweight kevlar canoe is [tex]2.19\ ft^3[/tex]
Final answer:
The concrete canoe displaces an additional 109 lbs of water compared to the ultralightweight Kevlar canoe of the same size carrying the same load due to the difference in weight between the two canoes. This is based on the principle of buoyancy.
Explanation:
The subject in question correlates to the principle of buoyancy, which in turn is closely related to Archimedes' principle stating that 'any object, wholly or partially immersed in a fluid, is buoyed up by a force equal to the weight of the fluid displaced by the object.' In the context of this scenario, the concrete canoe and the ultralightweight Kevlar canoe, both of the same size and carrying equal loads, would both displace the same volume of water. However, the difference in the buoyant force is due to the difference in the weight of the canoes themselves.
To discover how much extra water a 147-lb concrete canoe displaces compared to the 38-lb Kevlar canoe, we'll have to subtract the weight of the Kevlar canoe from the concrete canoe. The result will be the weight of the extra water displaced by the heavier concrete canoe.
The calculation would be as follows:
147 lbs - 38 lbs = 109 lbs
Therefore, the answer is that the concrete canoe displaces an additional 109 pounds of water compared to the ultralightweight Kevlar canoe of the same size carrying the same load.
Learn more about Buoyancy here:
https://brainly.com/question/31237221
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