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
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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.
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