Question

1. A large ocean liner floating in the sea has a volume of

375 000 m² and displaces 50 000 m² of sea water. Determine the
density and mass of the ship. Explain why, despite being made
of metal, the ship is able to float.​

Answer 1

Density of the ship :133.33 kg/m³

Mass of the ship :50,000,000 kg

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

Step-by-step explanation:

The formula for density is ;

Density = Mass/Volume

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

m=ρV where ρ is density of the fluid and V is volume of water displaced

Volume of liner= 375000 m³

Volume displaced = 50000 m³

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

I m³ = 1000 kg

50000 m³ = 50000*1000 =50,000,000 kg

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

So if ;

m= 50,000,000 kg

v= 375000 m³

ρ = m/V

ρ = 50,000,000/375000

ρ = 50,000,000/375000

ρ =133.33 kg/m³

Ships are able to float on water because they displace a volume that equals 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.