00:01
To be as general, so to be as general as possible, we have to denote the ratio of the body density to water density as f.
00:10
So f would be equal to the body density row divided by the water density w, and this would be equal to 0 .95.
00:22
We know that floating involves equilibrium and vertical forces acting on the body.
00:27
Of course, the buoyant force will push up the earth's gravity or the weight would push down.
00:34
So we can say that here the buoyant force must equal the gravitational force.
00:41
And we can say that the density of the water times the acceleration due to gravity times the volume of the water displaced would be equal to the body density times g times v.
00:52
Now we know that we're going to cancel out the gs.
00:57
And so we're going to then for part a, the volume of the water displaced, divided by the volume of the body would be equal to the density of the body, divided by the density of the water displaced.
01:09
And this is simply equaling f.
01:12
So essentially, this would equal 0 .95.
01:15
So what this means is that this would be your answer, but what this means is that 95 % of the body is submerged...