Use the general formulas for gravitational force and centripetal force to derive the relationship between speed and orbital radius for circular objects. the centripetal force is provided by gravity. set formulas equal to each other and solve for velocity

Explanation:

The universal law of gravitation is defined as:

 (1)                

Where G is the gravitational constant, M and m are the masses of the two objects and r is the distance between them.

The centripetal force can be found by means of Newton's second law:

 (2)

Since it is a circular motion, the acceleration can be defined as:

 (3)

Where v is the velocity and r is the orbital radius.

Replacing equation (3) in equation (2) it is gotten:

 (4)

Hence,

Then, v can be isolated:

So the relationship between speed and orbital radius is given by the expression

i am pretty sure it is c because when people are closer together, they cannot move as freely. picture being in a mostly full elevator, for instance. the people are right next to you, and you can barely move.