A body of mass $8kg$ moves in a $($counterclockwise$)$ circular path of radius $6$ meters, making one revolution

every $15$ seconds. You may assume the circle is in the xy$-$plane, and so you may ignore the third

component.

A$.$ Compute the centripetal force acting on the body.

B$.$ Compute the magnitude of that force.

Note: Use exact forms or at least $4$ significant digits in your answers.