A barge on the Ohio river is 35 ft wide and 200 ft long with walls which are 12

Question

A barge on the Ohio river is 35 ft wide and 200 ft long with walls which are 12 ft high.
(a) One day you see it going up river empty and 10.5 ft of the barge is above water. What is the mass of the barge?
kg

(b) The next day you see it going down river nearly full, and now 5 ft of the barge is above water. What is the mass of the coal the barge is carrying downriver?
kg

(c) If this particular barge were to make it out loaded into the saltwater in the Gulf of Mexico (? = 1025 kg/m3), how much of the barge would be above the water line now?
ft

Explanation / Answer

for part C let x ft is above the water now then buoyancy = 35*200*(12-x)*density of salt water*g =m*g dont forget to convert all quantities into same units barge dimensions are given in ft density is given in kg/m^3 m = 1090198 kg convert ft into meters you will get the answer

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