A flat bottomed rowboat on a freshwater lake (where thedensity of water is 1000k

Question

A flat bottomed rowboat on a freshwater lake (where thedensity of water is 1000kg/3) has length l= 3.2 m, widthw = 1.1 m and is 0.28 m deep. It has a mass of 130 kg. Its maximus load capacity os 450 kg in addition to its ownmass. (A) How much of the boat is submerged when it is empty? (B) How much of the boat is submerged when it carries itsmaximus load? (C) If the boatman does not mind violating the load capacityrestrictions, what is the total mass the boat can carry withoutwater overflowing into it from the lake? A flat bottomed rowboat on a freshwater lake (where thedensity of water is 1000kg/3) has length l= 3.2 m, widthw = 1.1 m and is 0.28 m deep. It has a mass of 130 kg. Its maximus load capacity os 450 kg in addition to its ownmass. (A) How much of the boat is submerged when it is empty? (B) How much of the boat is submerged when it carries itsmaximus load? (C) If the boatman does not mind violating the load capacityrestrictions, what is the total mass the boat can carry withoutwater overflowing into it from the lake?

Explanation / Answer

the boat displaces 3.2*1.1*.28=.986 m3 of water weighing.986*1000=986 kg. Part A) .28*130/986=.0369m Part B) .28*(450+130)/986=.165m Part C) 986=130+m m=856 kg

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