# Mass and Density of Sun

a) Calculate the mass of the sun from the radius of the earth's orbit (1.5 x 10^11 m)., the earth's period in its orbit, and the Universal Gravitational Constant, G.

b) What is the density of the sun and how does it compare with the density of the earth? (The sun's radius is 6.96 x 10^ 8 m).

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#### Solution Preview

^ denotes power

E denotes to the power of 10 ; thus 2.0077 E +30 is 2.0077 x 10 ^ 30

F= (G M m) / r ^2 ---- Law of Gravitation ----(1)

where

G= gravitational constant=

M= mass of the sun

m= mass of the earth

r= radius of earth's orbit

Now F is also equal to m v ^2 /r = centripetal force= m w ^2 r ...

#### Solution Summary

Calculates the values of mass and density of the sun using the values of the radius of the earth's orbit, the earth's period in its orbit, and the Universal Gravitational Constant, G.