Question

9. A yo-yo is moving in a horizontal circle of radius R. the yo-yo has a mass of 0.250 kg has a speed of 9 m/s and experience this a centripetal force of 26.6 N what is the radius of the circle that the yo-yo is moving in?

Answer 1

B. 0.761 meters

Explanation:

Given:

Mass (m) = 0.250 kg

centripetal force (Fc)= 26.6 N

Speed (v) = 9m/s

We have that the centripetal force can be calculated using the following formula:

`F_c=(m\cdot v^2)/(r)`

We substitute each value and solve for the radius, just like this:

`\begin{gathered} r=(m\cdot v^2)/(F_c) \\ r=(0.25\cdot9^2)/(26.6) \\ r=(0.25\cdot81)/(26.6) \\ r=0.761\text{ m} \end{gathered}`

The radius is equal to 0.761 meters