A small boat model, floating in a can of water, was moved from Earth to the Moon. Will this change

A small boat model, floating in a can of water, was moved from Earth to the Moon. Will this change (and if so, how will it change) the submersion depth (draft) of the boat?

The force of gravity on the Moon is much less than that of the Earth (more than six times, g of the moon (lunar acceleration of gravity) = 1.62 m / s²).

Consequently, our boat will weigh much less on the Moon compared to its weight on Earth, that is, it will exert pressure on the water.

The buoyant force acting on a body immersed in a liquid (F ext = Vρg, where V is the volume of the body, ρ is the density of the liquid, g is the acceleration of gravity), is equal to the weight of the liquid displaced by it, or, in other words, to the weight of the liquid that fills the volume occupied by a body immersed in a liquid.

On the Moon, the weight of the water will change in the same proportion as the weight of the boat, that is, F vyt, it will also push our boat less, as it will “press” less on the water (the volume and mass of the boat, when it is transferred from Earth to the Moon , do not change).

Hence the conclusion that the draft in the water of our boat should not change (according to the conditions of our example).



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