00:03
All right, in this problem, we have a car of 900 kilograms and a volume of three cubic meters.
00:10
And we're told that the car floats.
00:12
And we want to know what fraction of the car gets submerged below the surface when it floats.
00:21
So basically what we need is that the buoyant force is equal to the force of gravity in order for it to float.
00:29
And the buoyant force will be given by the, um, mass of water that's displaced, which we're writing as row water times v submerged times g.
00:42
And ultimately we want the fraction that's submerged.
00:47
So we'll divide this v sub by v.
00:51
So we can cancel out g from both sides of the equation.
00:57
And v sub is then simply m over row water and if we divide by v then this is our final expression where m is the 900 kilograms density of water is 10 to the 3 kilograms and v is 3 meters cubed now in part b we're told that the car starts to fill up with water and we want to know what fraction gets filled up before it sinks and the car will will start to sink when its density is equal to, i should say, technically when it becomes greater than the density of water, but the threshold is when the density matches the density of water...