a flat bottomed wooden box is 3m long and 1.5m wide, with sides 1 m high. The bo

Question

a flat bottomed wooden box is 3m long and 1.5m wide, with sides 1 m high. The box serves as a boat carrying five people as it floats on a pond. The total mass of the boat and the people is 1200kg. A. What is the total weight of the boat and the people in Newtons? B. What is the buoyant force required to keep the boat and its load afloat? c. what volume of water must be displaced to support the boat and its load?(water density is 1000kg.m ^3) d. how much of the boat is underwater? (What height of the sides must be submerged to produce a volume equal to part C)

Explanation / Answer

ANSWER a) 1200N x 9.8 = 11,760N. (11.76kN). b) The buoyant force required is also 11.76kN. c) Volume = 1200 litres. (density of water is 1000kg/m^3), and 1kg of water is 1 litre volume). d) 3m x 1.5m = 4.5 m^2 area of box. (1.2kL/ 4.5m^2) = .266m, or 26.6cm. immersed.

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