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The gravitational force acting between two objects is calculated by,
                                        F = G x (m1 x m2) / d²
where G is the universal gravitational constant, m1 and m2 are the masses of the objects, and d is the distance between them. The distance between the spheres is twice the measure of the radius.
Substituting,
                  F = (6.674 x 10^-11) x (900 kg x 900 kg) / (0.40 m)²
Thus, the gravitational force between the spheres is approximately 3.378x10^-4 N.

Answer:

[tex]F=3.37\times 10^{-4}\ N[/tex]

Step-by-step explanation:

Mass of the sphere, [tex]m_1=m_2=900\ kg[/tex]

Radius of each sphere, r = 200 mm = 0.2 m

Distance between two spheres, d = 0.4 m

The gravitational force acting between two spheres is given by :

[tex]F=G\dfrac{m_1m_2}{d^2}[/tex]

[tex]F=6.67\times 10^{-11}\times \dfrac{(900)^2}{(0.4)^2}[/tex]

F = 0.000337 N

[tex]F=3.37\times 10^{-4}\ N[/tex]

So, the gravitational force acting on between two spheres is [tex]3.37\times 10^{-4}\ N[/tex]. Hence, this is the required solution.

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