Answer: The tangential speed of the ball is 2.3 m/s.
Explanation:
Mass of the ball ,M= 5.0 kg
Length of the string to which the ball is tied = r = 1.2 m
Tangential speed of the ball - v
Centripetal force acting = 22 N
[tex]F_{c}=\frac{M\times (^2)}{r}[/tex]
[tex]22 N=\frac{5.0 kg\times v^2}{1.2 m}[/tex]
[tex]v^2=\frac{22N\times 1.2 m}{5.0 kg}=5.28 m^2/s^2[/tex]
[tex]v=\sqrt{5.28 m^2/s^2}=2.297 m/s\approx 2.3 m/s[/tex]
The tangential speed of the ball is 2.3 m/s.