celinem1948 celinem1948
  • 08-12-2019
  • Physics
contestada

7 Consider two homogeneous bodies of
the same volume.
Is it necessary for them to have the same
mass? why?
​

Respuesta :

chintu74 chintu74
  • 14-12-2019

Answer:

No, it is not necessary for them to have same mass.

Explanation:

Let both bodies have a density d1 and d2 respectively.

Since their volumes are equal V1 = V2

we know that,

density = [tex]\frac{mass}{volume}[/tex]

Hence, d1 = [tex]\frac{m1}{V1}[/tex] and d2 = [tex]\frac{m2}{V2}[/tex]  

Taking the ratio of densities,we get

[tex]\frac{d1}{d2} = \frac{m1}{m2}[/tex]

This implies that unless the bodies have same densities, the mass of the two bodies will not be same.

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