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What is the gravitational force between the Sun and Jupiter?a. 5.24 x 1029 N b. 4.97 x...

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melissazamora7 | Student, Grade 11 | Honors

Posted October 29, 2012 at 7:32 PM via web

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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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jerichorayel | College Teacher | (Level 1) Senior Educator

Posted October 30, 2012 at 10:00 AM (Answer #1)

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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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