Question

Two identical spheres are placed in contact with each other the force of gravitation between the sphere will be proportional to

Answer 1

Assumptions:

Let us consider the diameter of the spheres to be d.

Diameter = d

Then,

The radius of the spheres will be the half of the diameter.

Hence,

Radius = d/2

Let m1 and m2 be the masses of the cylinders respectively.

By law,

The gravitational force is directly proportional to the product of their masses and inversely proportional to the square of the distance between them.

The gravitational force is directly proportional to the fourth power of the radius.

Hence,

F = G m1 m2/ r^2

F = G (4/3πr^3)ρ (4/3πr^3)ρ / r^2

And so we get,

F ∝ r^4

The force of gravitation between the sphere will be proportional to r^4.

Where,

r is the radius of the sphere.

Answer 2

Answer:

F α R^4

Explanation:

Pls refer to the attachment above...

Hope u will understand...

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