A boat has a total mass, including the load in it, of 200,000 kg (roughly 220 to

Question

A boat has a total mass, including the load in it, of 200,000 kg (roughly 220 tons in our weight units). The boat is shaped like a barge, with a length of 30 meters and a width of 10 meters. You may assume that the bottom of the boat is flat. (So, think of the boat having the shape of a rectangular cake pan.) As with any boat, part of the hull is under water and the rest is above water. It floats. (a) What is the weight of the boat in Newtons? (b) What is the buoyant force supplied by the water (in Newtons)? (c) How far below the surface of the water is the bottom of the boat? (For this last part, remember that part of the hull of all boats is underwater, as part of any hull must be if it is to be able to displace water.)

Explanation / Answer

?*g*A*h = m*g

we dont have m so weight of the boat = ?*g*A*h

w = 1000*9.81*30*10*0.666

w = 1962000.1 N

2.

?*g*V = 1962000 N

3.

0.666 m

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