If a ship loaded when floating in fresh water to a weight of50,000 metric tons w

Question

If a ship loaded when floating in fresh water to a weight of50,000 metric tons were floated in sea water of a specific gravity1.03, how much additional weight could she take on board withoutbeing immersed to a greater extent than in the fresh water? I have no idea where to even start, would appreciate help withthis question. If a ship loaded when floating in fresh water to a weight of50,000 metric tons were floated in sea water of a specific gravity1.03, how much additional weight could she take on board withoutbeing immersed to a greater extent than in the fresh water? I have no idea where to even start, would appreciate help withthis question.

Explanation / Answer

   Mass carried byship   =   volume of water displaced* density of water    Weight carried by ship in freshwater   Wf   =   V* 1.00 *103    =   50000          tons    density of seawater   d   =   specificgravity * density of freshwater   =   1.03 * 1.00 *103   =   1.03 *103   kg/m3     Weight carried by ship in seawater   Ws   =   V* 1.03 *103    =   1.03 *50000         tons    Excess weight that can beloaded   W   =   Ws   -   Wf   =   (1.03- 1.00) *50000   =   1500   tons     Weight carried by ship in seawater   Ws   =   V* 1.03 *103    =   1.03 *50000         tons    Excess weight that can beloaded   W   =   Ws   -   Wf   =   (1.03- 1.00) *50000   =   1500   tons    

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