The final gravitational force will 4 times greater than the initial gravitational force.
We need to know about gravitational force to solve this problem. The gravitational force is caused by 2 masses of objects separated by a distance. It can be determined as
F = G . m1 . m2 / r²
where F is the gravitational force, G is the gravitational constant, m1 is the mass of the first object, m2 is the mass of the second object and r is the distance between two objects.
From the question above, we know that:
m1 initial = m
m2 initial = m
r initial = r final = r
m1 final = 2m
m2 final = 2m
The initial gravitational force is
Finitial = G . m1 . m2 / r²
Finitial = G . m . m / r²
Finitial = G . m² / r²
The final gravitational force is
Ffinal = G . m1 . m2 / r²
Ffinal = G . 2m . 2m / r²
Ffinal = G . 4m² / r²
The ratio is
Ffinal / Finitial = (G . 4m² / r²) / (G . m² / r²)
Ffinal / Finitial = 4
Hence, the final gravitational force will 4 times greater than the initial gravitational force.
For more on gravitational force at: brainly.com/question/19050897
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