Aball is whirled overhead at a velocity of 12 meters/second in a circular path whose radius is 2 meters. select the value listed below that must be substituted for c if the equation for determining centripetal force is defined in this way: x = b^2*a/c a. 2 b. 5 c. 6 d. 12

A. 2

Explanation:

The formula for the centripetal force is given by

where m is the mass of the ball, v is its tangential speed, and r is the radius of the circular path.

The formula written in this problem is:

By comparing the two formulas, we see that

- A corresponds to the mass, m

- B corresponds to the speed, v

- C corresponds to the radius, r

Therefore, since in this problem the radius is 2 meters, then C=2.

pythagoras' theorem

square root (-5^2+9^2)

square root (25+81)

square root (106)

angle is tan^-1(9/5)

neg x, pos y