Ac rock with a mass of 525 g in air is found to have an apparent mass of 372 g when submerged in water mass, in grams, of water is displaced 153 g
When the rock is submerged into the water, there are two forces acting on the rock:
- its weight, equal to W = mg (m=mass, g=acceleration of gravity), downward
- the buoyant force, equal to B = mwg (mw=mass of water displaced), upward
So the resultant force, which is the apparent weight of the rock (W'), is
W' = W - B
which can be rewritten as
m'g = mg - mwg
where m' is the apparent mass of the rock. Using:
m = 540 g
m' = 372 g
we find the mass of water displaced
mw = m - m' = 525g - 372g = 153g
=mass, in grams, of water is displaced 153 g
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