The approximate magnitude of the gravitational force between Ganymede and Jupiter is 16.35 x 10^21 N.
According to Newton’s Law of Gravitation, the gravitational force between two bodies is directly proportional to the masses of the two objects and is inversely proportional to the square of the distance between them.
The above statement can be represented by the following equation:
F = Gx (m1)x (m2)/r^2
Here G = Universal Gravitational Constant = 6.67 x 10^-11 N m^2/kg^2
m1 and m2 are the masses of two bodies
r is the distance between the bodies
Putting m1= Mass of Jupiter= 1.89 x 10^27 kg
m2 =Mass of Ganymede 1.48 x 10^23 kg
r = Distance between Jupiter and Ganymede = 1.07 x 10^9 meters
F = 6.67 x 10^-11 x 1.89 x 10^27 x 1.48 x 10^23/(1.07 x 10^9)^2
On solving the above equation F comes out to be 16.35 x 10^21 N.
Thus, the approximate magnitude of the gravitational force between Ganymede and Jupiter is 16.35 x 10^21 N.
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