The mean orbital radius of the Earth around the Sun is `1.5 xx 10^8 km`. Estimate the mass of the Sun.

Explanation

As the centripetal force is provided by the gravitatioanal pull of the sun on the earth.
`(GM_(s)M_(e))/(r^(2))=M_(e)r omega^(2)=M_(e)r(4pi^(2))/(T^(2))`
(o) `M_(s)=(4pi^(2)r^(3))/(GT^(2))`
given `r=1.5xx10^(8)km=1.5xx10^(11)m`
T=365 days `=365xx24xx60xx60s`
`:.M_(s)=(4xx(22//7)^(3)xx(1.5xx10^(11))^(3))/((6.67xx10^(-11))xx(365xx24xx60xx60)^(2))`
`~~2xx10^(30)kg`]