If two objects each with a mass of 3.9 x103 kg, produce a gravitational force between them of 5.9x10-5 N, what is the distance between them?

9.6m

Explanation:

Given parameters:

Gravitational force  = 5.9 x 10⁻⁵N

Their masses = 3.9 x 10³kg

Unknown

Distance or separation  = ?  

Solution:

Both of the spherical objects have the same mass as indicated in the problem.

From the newton's law of universal gravitation:

      F  =  

F is the gravitational force

G is the universal gravitation constant  = 6.67 x 10⁻¹¹

m1 is the mass of object 1

m2 is the mass of object 2

r is the distance between them

Since m1  = m2 = m

So;

      5.9 x 10⁻⁵  =  

  Therefore;

               r = 9.6m

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