1. Calculate the mass of a body whose volume is 2 m and density 0.52 g/cm3.
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Relative density of a substance is the ratio of its density to the density of a reference substance. In this case, the reference substance is water.
That is, Relative density=
Densityofwater
Densityoftheobject
.
It is known that the density of water is 1000kg/m
3
and the relative density is given as 0.52.
Substituting these values in the above formula, we get the density of the substance.
That is, Density of the substance = 0.52×1000kg/m
3
=520kg/m
3
.
The mass of a body is calculated from the formula, Mass=Density×Volume. The volume of the substance is given as 2m
3
.
Therefore, Massofthesubstance=520kg/m
3
×2m
3
=1040kg.
thereforeX=1040kg
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