What is the gravitational force between the Sun and Jupiter?a. 5.24 x 1029 N b. 4.97 x 1031 N c. 3.26 x 1035 N d. 4.19 x 1023 N  

1 Answer

jerichorayel's profile pic

jerichorayel | College Teacher | (Level 2) Senior Educator

Posted on

The gravitational force between two objects can be summarized in the formula:

F = G M1M2/ r^2

where G is the gravitational constant

M1 the mass of the object 1 and M2 is the mass of the object 2 and r is the distance between the two objects. For this problem, we have a data for the mass of sun and Jupiter. However, their distance is not always constant so we will look on the average distance of Jupiter from the earth.

Mjupiter = 1.8986×1027 kg

MSun = M = 1.9891 x 10^30 kg

G = 6.67300 × 10-11 m3 kg-1 s-2

r = 778,547,200,000 m

From the given values we can now get the gravitational force between Jupiter and the Sun.

F = G M1M2/ s2

F = (6.67300 × 10-11 m3 kg-1 s-2) x (1.8986×1027 kg) x (1.9891 x  10^30 kg)


                    (778,547,200,000 m)2


F = 4.20x10^23 N

Looking at the choices, we can see that letter d is the nearest answer.