a child twirls a yo-yo about in a horizontal circle. The yo-yo has a mass of 0.20 kg and is attached to a string 0.8 m long. what is the velocity of the yo-yo?

thanks!

infinite, problem ill posed, can not be horizontal, must be at finite angle below horizontal.

To find the velocity of the yo-yo, we need to use the formula for the centripetal velocity in a circular motion, which is given by the equation:

v = √(r * g)

Where:
v = velocity
r = radius of the circle (length of the string)
g = acceleration due to gravity (approximately 9.8 m/s²)

In this case, the radius of the circle is given as 0.8 m. Plugging in the values into the formula, we can calculate the velocity:

v = √(0.8 * 9.8)
v ≈ √7.84
v ≈ 2.8 m/s

Therefore, the velocity of the yo-yo is approximately 2.8 m/s.