Atennis ball connected to a string is spun around in a vertical, circular path at a uniform speed. the ball has a mass m = 0.16 kg and moves at v = 5.33 m/s. the circular path has a radius of r = 1.13 m. what is the minimum velocity so the string will not go slack as the ball moves around the circle?

v=3.57m/s

Explanation:

Hi, let's solve this!

The speed is minimal when the voltage T = 0N

This occurs when the balance is

T + m * g = m * v2 / r

Since the voltage is zero, then we cancel it and the equation is

m * g = m * v2 / r

We have the following data:

m = 0.16kg

g = 9.8m / s2

r = 1.13m

We cleared the speed and it is

v=3.57m/s