Question

47 A ship sails from seawater (specific gravity 1.025) into freshwater and therefore sinks slightly. When its load of 600,000 kg is removed, it returns to its original level. Assum- the mass of the ship before it was unloaded.

Answer 1

We know that (force obeys) mg = p_s w v g-(1) where v is the volume of displaced water p_s w is density of water Let after unloading in fresh water m' is the new mass than m'g = p_f w v g -(2) [volume displaced is game as before] than from (1) and (2) m/m' = p_s w p_f w doublerightarrow m = p_s w/p_f w m' = 1.025 m' doublerightarrow m - m' = 0.025m = 6 times 10^5 kg doublerightarrow m = 6 times 10^5/2.5 times 10^-2 = 2.4 times 10^7 kg