The mass of the Earth is `6xx10^(24)kg`. The distance between the Earth and the sun is `1.5xx10^(11)m`. If the gravitational force between the two is `3.5xx10^(22)N` what is the mass of the sun? `G=6.7xx10^(-11) Nm^(2)//kg^(2)`

Explanation

Given `m_(1)=6xx10^(24)kg`
`r=1.5xx10^(11)m`
`F=3.5x10^(22)N`
`G=6.7xx10^(-1)Nm^(2)//kg^(2)`
To find `: m_(2)=?`
Formula `F=(Gm_(1)m_(2))/(r^(2))`
Solution: `(Fr^(2))/(Gm_(1))=m_(2)`
`m_(2)=(3.5xx10^(22)xx(1.5xx10^(11))^(2))/(6.7x10^(-11)xx6xx10^(24))`
`=(7.875xx10^(44))/(40.2xx10^(13))`
`=7.875/40xx10^(31)` ltbr. `=0.196xx10^(31)kg`
`=1.96xx10^(30)kg`
The mass of the Sun is `1.96xx10^(30)kg`