Question

A roller coaster car is traveling through a loop at 13 m/s. If the loop has a 23m radius, what centripetal force will the 53kg rider feel?

Answer 1

Given,

The velocity of the car, v=13 m/s

The radius of the loop, r=23 m

The mass of the rider, m=53 kg

The centripetal force is the force that keeps an object in its circular path.

The centripetal force is given by,

`F=(mv^2)/(r)`

On substituting the known values,

`\begin{gathered} F=(53*13^2)/(23) \\ =389.43\text{ N} \end{gathered}`

Therefore, the centripetal force on the rider is 389.43 N