If f = ma = B - W = 0, then a body in liquid will float because its acceleration = a = 0. B is the buoyancy and W is the weight of the body. f = net force on a body of mass m.
Buoyancy B = rho V g; where rho is the density of the liquid, V is the volume of liquid displaced by the body, and g = the acceleration due to gravity. If you look at this equation carefully, you'll see that B = Mg, where M = rho V = the mass of the displaced liquid; so B = Mg = the weight of the displaced liquid.
In other words, when B = W, we are saying a body will float when the weight of the displaced liquid (the buoyancy) equals the weight of the body. Naturally, if B < W, the body will sink because f = ma = B - W < 0 so that there is negative (downward) acceleration deeper into the liquid.
Note that B > W can happen. When it does, the body will rise to the surface because f = ma > 0 and the acceleration is upward, towards the surface. Submarines use this physics all the time to aid in surfacing from deep in the oceans. At a give depth, B = constant; so what they do is lighten the weight (W) to below B. They do this by "blowing" or getting rid of ballast, which is usually ocean water in tanks.
2007-01-28 04:54:10
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answer #1
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answered by oldprof 7
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As I think: -
First weight is mass multiplied by gravity, and the amount of matter a body contains, and buoyancy is the ability to stay buoyanant.
So if weight is more buoyancy will be less because their is a pull of gravity+ more mass.
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2007-01-28 04:42:36
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answer #2
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answered by milky 1
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