Question #178885

rectangular box has a width of 1 m, a length of 5 m and a mass of 1000 kg. Determine the mass should be added to be immersed to a depth of 250 mm in fresh water.

1
Expert's answer
2021-04-09T06:36:09-0400

The box will be immersed in water to a depth of 0.25 m if the force of gravity is equal to the buoyancy force:


(m+M)g=ρgV,mg+Mg=ρg(Ah), m=ρAhM==1000150.251000=250 kg.(m+M)g=\rho gV,\\ mg+Mg=\rho g(Ah),\\\space\\ m=\rho Ah-M=\\=1000·1·5·0.25-1000=250\text{ kg}.


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