Question

What is the size of the force of gravity between the Earth with a mass of 5.98 x `10^14` and the Sun that has a mass of 1.99 x `10^30` if the distance separating the earth and the sun is 1.50x`10^11` m ?

Answer 1

As per Law of Universal Gravitation the force of attraction `F_G` between two bodies of masses `M_1 and M_2` located at a distance distance `r` from each other is given as

`F_G =G (M_1.M_2)/r^2` .......(1)

Where `G` is the proportionality constant.
It has the value `6.67408 xx 10^-11 m^3 kg^-1 s^-2`

Inserting given values we get
`F_G =6.67408 xx 10^-11 xx(5.98 xx 10^24xx1.99 xx 10^30)/(1.50xx10^11)^2`
`=>F_G =3.53 xx 10^22N`
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There appears to be typo error in writing mass of earth. In the calculations this has been corrected.