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Oak has a density of 750 kg/m^3 . What is the minimum mass an oak raft...

Oak has a density of 750 kg/m^3 . What is the minimum mass an oak raft needs to be to keep an 80kg
person completely dry?

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Answer #1

Mass of the person = 80 kg.

Now suppose mass of the oak needed to keep the person completely dry is M kg.

Therefore, volume of the oak, V = (M / 750) m^3

Now suppose the density of the water is 1000 kg/m^3

So, mass of the displaced water by the oak = (M/750)x1000 kg

now, according to the Archimedes principle, this weight must be equal to the weight of the person.

so -

(M/750)x1000 = 80

=> M = (80 x 750) / 1000 = 60 kg.

So, mass of the oak raft needs to keep the personson completely clean is 60 kg.

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