Question

# How much greater is the Sun’s gravitational force on Jupiter compared with the Sun’s gravitational force...

How much greater is the Sun’s gravitational force on Jupiter compared with the Sun’s gravitational force on the Earth? Use the following information: mass of the Sun = 2.0 x 1030 kg, mass of Jupiter = 1.9 x 1027 kg, mass of Earth = 6.0 x 1024 kg; G = 6.67 x 10-11 m3kg-1s-2; distance between Sun and Earth = 1.5 x 1011 m; distance between Sun and Jupiter = 7.8 x 1011 m. (Round your answer to one decimal place).

here we have given that

mass of the Sun = 2.0 x 10^30 kg,

mass of Jupiter = 1.9 x 10^27 kg,

mass of Earth = 6.0 x 10^24 kg;

G = 6.67 x 10^-11 m^3kg-1s-2;

distance between Sun and Earth = 1.5 x 10^11 m;

distance between Sun and Jupiter = 7.8 x 10^11 m.

now we have the gravitational force formula as here

F = Gm1m2/r2

so that for Jupiter

Fj = G * 1.9 x 10^27 kg * 2.0 x 10^30 kg/( 7.8 x 10^11 m.) ^2

AND for the earth here

Fe =  G * 6.0 x 10^24 kg * 2.0 x 10^30 kg/(1.5 x 10^11 m.) ^2'

so that when we take the ratio of there two forces here we will get

Fj/Fe = ( G * 1.9 x 10^27 kg * 2.0 x 10^30 kg/( 7.8 x 10^11 m.) ^2)/ (G * 6.0 x 10^24 kg * 2.0 x 10^30 kg/(1.5 x 10^11 m.) ^2)

Fj/Fe = 11.71104

hence here

Fj = Fe * 11.71104

which means  the Sun’s gravitational force on Jupiter is 11.71104 times the Sun’s gravitational force on the Earth

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