Answer:
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 = [tex]\frac{G m1 m2}{r^{2} }[/tex]
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 = [tex]\frac{6.67 x 10^{-11} x 3.9 x 10^{3} x 3.9 x 10^{3} }{r^{2} }[/tex]
Therefore;
r = 9.6m
