Question

If the radius of the circle changes by a factor of 4, the force changes by a factor of

a) 0.8
b) 4
c) 0.25
d) 3
e) 0.3
f) 1

Answer 1

If the radius of the circle changes by a factor of 4, the force changes by a factor of 0.25.

Step-by-step explanation:

The force between two objects in a circular orbit is given by the equation:

F = Γ * M1 * M2 / r^2

where Γ is the gravitational constant, M1 and M2 are the masses of the objects, and r is the radius of the circular orbit.

If the radius changes by a factor of 4, then the force will change by a factor of (1/4)^2 = 1/16.

Therefore, the correct answer is:

c) 0.25