Jupiter is 318 times more massive than earth based upon mass

Jupiter is 318 times more massive than earth. based upon mass alone, what is the gravitational attraction between Jupiter and the sun in units of \"earth pulls\"?

Solution

Force of gravitation is given by F=GMm/r²

if the meaning of \'mass alone\' is that the distance is to be taken same, i.e, in GMm/r² only m is changing and not r, then simply F will increase proportional to m.

m_jupiter=318 m_earth

Hence force will be 318 times earth pulls.