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24 January, 18:50

A container ship is 240 m long and 22 m wide. Assume that the shape is like a rectangular box. How much mass does the ship carry as load if it is 10 m down in the water and the mass of the ship itself is 30 000 tonnes?

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  1. 24 January, 20:44
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    22800 tonne

    Explanation:

    Given:

    Length of the container, L = 240 m

    Width of the container, B = 22 m

    Depth inside the water, H = 10 m

    Mass of the ship, m = 30000 tonnes

    Now,

    Total immersed volume of the ship = LBH = 240 * 22 * 10 = 52800 m³

    From the Archimedes principle, we have

    Total mass of the ship (i. e mass of the ship along with the load carried)

    = Mass of the volume of water displaced by ship

    = 52800 * Density of water

    also,

    Density of water = 1000 kg/m³

    thus,

    Total mass of the ship (i. e mass of the ship along with the load carried)

    = 52800 * 1000 kg

    also,

    1 tonne = 1000 kg

    thus,

    Total mass of the ship (i. e mass of the ship along with the load carried)

    = 52800 tonne

    Therefore,

    the load carried by the ship = Total mass of the ship - mass of ship

    or

    the load carried by the ship = 52800 - 30000 = 22800 tonne
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