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A ferry boat has internal volume 1 m3 and weight 50 kg. (a) Neglecting the thickness of the wood, find the fraction of the volume of the boat immersed in water. (b) If a develops in the bottom and water starts coming in, what fraction of the boat’s volume will be filled with water before starts coming in from the sides?

A ferry boat has internal volume 1 m3 and weight 50 kg. (a) Neglecting the thickness of the wood, find the fraction of the volume of the boat immersed in water. (b) If a develops in the bottom and water starts coming in, what fraction of the boat’s volume will be filled with water before starts coming in from the sides?

Grade:11

1 Answers

Navjyot Kalra
askIITians Faculty 654 Points
7 years ago
Sol. . a) Let Vi→volume of boat inside water = volume of water displace in m3. Since, weight of the boat is balanced by the buoyant force. ⇒mg = Vi× ρw× g b) Let, v1→volume of boat filled with water before water starts coming in from the sides. mg + v1ρw× g = V × ρw× g.

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