Chapter 6, Problem 56A

To determine

The way, the net force depends on the speed of the object.

Answer to Problem 56A

The net Force is directly proportional to the square of velocity.

Explanation of Solution

The net force must be equal to

  $F=\frac{m{v}^2}{r}$

Where, $m$ is the mass of the body

$v$ is speed of the body

$r$ is radius &the circular motion

F must be perpendicular to $v$ at all times, i.e. point towards the center of the circle from the body.

Conclusion:

The net force is directly proportional to the square of velocity.

  $F\propto v^2$