What is the size of the force of gravity between the Earth with a mass of 5.98 x 10^141014 and the Sun that has a mass of 1.99 x 10^301030 if the distance separating the earth and the sun is 1.50x10^111011 m ?

1 Answer
Mar 12, 2017

As per Law of Universal Gravitation the force of attraction F_GFG between two bodies of masses M_1 and M_2M1andM2 located at a distance distance rr from each other is given as

F_G =G (M_1.M_2)/r^2FG=GM1.M2r2 .......(1)

Where GG is the proportionality constant.
It has the value 6.67408 xx 10^-11 m^3 kg^-1 s^-26.67408×1011m3kg1s2

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)^2FG=6.67408×1011×5.98×1024×1.99×1030(1.50×1011)2
=>F_G =3.53 xx 10^22NFG=3.53×1022N
.-.-.-.-.-.-.-.-.-

There appears to be typo error in writing mass of earth. In the calculations this has been corrected.