BIKMA
contestada

1. A large ocean liner floating in the sea has a volume of
375 000 mĀ² and displaces 50 000 mĀ² of sea water. Determine the
density and mass of the ship. Explain why, despite being made
of metal, the ship is able to float.ā€‹

Respuesta :

lucic

Answer:

Density of the ship :133.33 kg/mĀ³

Mass of the ship :50,000,000 kg

Ships are able to float on water because they displace a volume that equals Ā their own weight

Explanation:

The formula for density is ;

Density = Mass/Volume

But the mass of Ā displaced fluid is give by the formula;

m=ĻV where Ļ is density of the fluid and V is volume of water displaced

Volume of liner= 375000 mĀ³

Volume displaced = 50000 mĀ³

The volume of the water displaced is equal to mass of the liner

I mĀ³ = 1000 kg

50000 mĀ³ = 50000*1000 =50,000,000 kg

50,000,000 kg ----------mass of the ship

So if ;

m= 50,000,000 kg

v= 375000 mĀ³

Ļ = m/V

Ļ = 50,000,000/375000

Ļ = 50,000,000/375000

Ļ =133.33 kg/mĀ³

Ships are able to float on water because they displace a volume that equals Ā their own weight. Additionally, the air contained in the spaces of the ship inside is much less dense than density of water aiding in the floating process.

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