Question

is ship of mass 1200 tonnes floats in seawater what volume of sea water those it displace?If the ship enter fresh water what mass of cargo must be on load sure that's the same volume of water is displaced as before (density of freshwater equals to 1000kg-3 relative density of seawater -1.03 1 tonne - 1000 kg ​

Answer 1

Explanation:

Given parameters:

Mass of ship = 1200tonnes

Density of freshwater  = 1000kg/m³

Density of seawater  = 1.03

Unknown:

Volume of sea water it will displace = ?

Mass of cargo load that the same volume of water will displace = ?

Solution:

According to Archimede's principle "an object totally or partially submerged in a fluid will displace an equal amount of fluid corresponding to its weight or volume".

The volume of sea water the ship will displace equal to the volume of the ship.

   Relative density = $\frac{density of sea water }{volume of fresh water}$

 Density of sea water = 1.03 x 1000kg/m³  = 1030kg/m³

   To find the volume of water displaced by the ship;

  Density = $\frac{mass}{volume}$

 Volume of sea water = $\frac{mass }{density }$

   1200tonnes to kg ;    1200 x 1000 =1200000kg

Volume of sea water =  $\frac{1200000}{1030}$ =  1165.04m³

Now to find the mass of fresh water displace;

   Mass of fresh water  = density x volume

    Mass of fresh water = 1000kg/m³ x 1165.04m³

   Mass of fresh water = 1165048.54kg or 1165tonnes

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