Two objects, with masses m1 and m2, are originally a distance r apart. The gravitational force between them has magnitude F. The second object has its mass changed to 2m2, and the distance is changed to r/4. What is the magnitude of the new gravitational force?

(A) 16F
(B) 32F
(C) F/16
(D) F/32

The gravitational force will increase 32 times , if mass of m2 is increase 2 times and distance between them is decreased by 4 times.

Newton's law of universal gravitation,

Where,

F =force

G =gravitational constant

m1=mass of object 1

m2 =mass of object 2 =  2 x m2

r =distance between centers of the masses = r/4

So, new gravitational force,

Therefore, the gravitational force will increase 32 times , if mass of m2 is increase 2 times and distance between them is decreased by 4 times.

To know more about gravitational force,

link

The magnitude of the new gravitational force becomes 32 times of the original force.

Explanation:

Two objects, with masses m₁ and m₂, are originally a distance r apart. the gravitational force between them is given by :

If the second object has its mass changed to 2m₂ and the distance is changed to r/4, such that,

and

The new gravitational force is given by :

So, the magnitude of the new gravitational force becomes 32 times of the original force. Hence, the correct option is (B) "32F".

the assestment will probley apele with cause and effect

jupiter is the largest planet in our solar system, having a mass and radius that are respectively, 318 and 11.2 times that of earth. suppose that an object falls from rest near the surface of each planet and that the acceleration due to gravity remains constant during the fall. each object falls the same distance before striking the ground. determine the ratio of the time of fall on jupiter to that on earth.