Calculate the force of gravitation between the earth the sun, given that the mass of the earth `=6xx10^(24)`kg and mass of the sun `=2xx10^(30)`kg. The average distance between the two is `1.5xx10^(11)m`.

Answer

Gravitational force `=3.56xx10^(22) N`

Explanation

Accrding to question ,
`M_(s)` = mass of the Sun` =2xx10^(30) kg `
`M_(E)` = Mass of earth `=6x10^(24) kg `
R = Average distance between the Earth and the sun `=1.5xx10^(11)` m
From Universal law of gravition .
`F=G(Mm)/(r^(2))`
putting the above values ,
` F=6.67 xx10^(-11) ((6xx10^(24)))xx(2xx10^(30))/((1.5xx10^(11))^(2))`
`=6.67xx10^(-11) (12xx10^(54))/(2.25xx10^(22))=(6.67xx12xx10^(21))/(2.25)`
`=3.56xx10^(22)`N