A0.12 kg yo-yo is whirled around by its string in a circle of radius 0.44 m at a constant speed of 6 m/s. What is the required centripetal force in Newtons to keep this yo -yo whirling in a circle?

Respuesta :

Answer:

Centripetal force, F = 9.81 N

Explanation:

It is given that,

Mass of the object (yo-yo), m = 0.12 kg

It is whirled around by its string in a circle

Radius of circle, r = 0.44 m

Speed of object, v = 6 m/s

We need to find the required centripetal force in Newtons to keep this yo -yo whirling in a circle. The centripetal force is given by :

[tex]F=\dfrac{mv^2}{r}[/tex]

[tex]F=\dfrac{0.12\ kg\times (6\ m/s)^2}{0.44\ m}[/tex]

F = 9.81 Newton

So, the centripetal force required to keep this yo -yo whirling in a circle is 9.81 N. Hence, this is the required solution.