Question

The gravitational force between two objects is 1600 N. What will be the gravitational force between the objects if the distance between them doubles?

400 N
800 N
3200 N
6400 N

Answer 1

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

Answer 2

The correct answer to the question is : A) 400 N

Step-by-step 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 =
`G(MM')/(R^2)`

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 =
`(1600\ N)/(4)`

= 400 N. [ANS]