What is the centripetal acceleration of a ball on a string that is whirled horizontally over a boy’s head? The radius of the circle is 1.8 meters, and the ball is traveling at 9.2 meters/second.

19 meters/second2
84 meters/second2
110 meters/second2
31 meters/second2
47 meters/second2

Respuesta :

The answer would be 47 meters

Answer:

Centripetal acceleration is 47 m/s²

Explanation:

It is given that,

Radius of the circle, r = 1.8 meters

The velocity of the ball, v = 9.2 m/s

We have to find the centripetal force of a ball on a string that is whirled horizontally over a boy’s head. It is given by :

[tex]a_c=\dfrac{v^2}{r}[/tex]

[tex]a_c=\dfrac{(9.2)^2}{1.8}[/tex]  

[tex]a_c=47.02\ m/s^2[/tex]

or

[tex]a_c=47\ m/s^2[/tex]

So, the centripetal acceleration of the ball on a string is 47 m/s². Hence, the correct option is (E).