A yacht drops anchor

yacht

A yacht drops its anchor overboard. What happens to the water
level?

Solution.

We are going to use the Archimedes principle of buoyancy.

Let’s say that the mass of the yacht is M and the mass of the anchor is m. The density of water is ρw and the density of the anchor is ρa. When the anchor is in the yacht, the volume of water displaced is

V1 = (M + m) / ρw = M / ρw + m / ρw

and when the anchor is in the water, the volume of water displaced is

V2 = M / ρw + m / ρa

It’s obviously that

ρa > ρw

then

V1 > V2

Thereby, the water level falls when the yacht drops anchor overboard.

 

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