Final answer:
In a period^2 vs radius graph, less force is required because force is inversely proportional to the radius of the circular orbit. The equation FN = Kr¹/2 is consistent with this answer.
Step-by-step explanation:
In a graph of period^2 vs radius, the relationship between period^2 and radius can be related to force as follows:
C. Less force is required because the force is inversely proportional to the radius of the circular orbit.
The equation FN = Kr¹/2, where K is a constant and r is the radius of the loop, is consistent with the answer in part a. This equation makes sense because it shows that the force required (FN) decreases as the radius (r) increases.
The graph of speed vs. radius for a car traveling around loops of various radii will show that as the radius increases, the speed required to barely make it around the loop decreases.