Respuesta :
Force of gravity = (G * m1 * m2 / d squared)
If the distance is doubled, the force of gravity will be divided by a number 4x as large.
The correct answer is A
The correct answer to the question is : A) 400 N
EXPLANATION:
Let us consider two bodies having masses M and M' which are separated by a distance of R.
The gravitational force that acts between them is calculated as -
Gravitational force F = [tex]G\frac{MM'}{R^2}[/tex]
Here, G is known as the universal gravitational force constant.
From above, we see that F is inversely proportional to the square of separation distance.
As per the question, the gravitational force between them F = 1600 N.
The distance between them is doubled.
Hence, the force between them will be reduced by four times as per the above relation.
Hence, the gravitation force will be = [tex]\frac{1600\ N}{4}[/tex]
= 400 N. [ANS]