Question

Base your answer to the question on the information below.A go-cart travels around a flat, horizontal, circular track with a radius of 25 meters. The mass of the go-cart with the rider is 200. kilograms. The magnitude of the maximum centripetal force exerted by the track on the go-cart is 1200. newtons.Which change would increase the maximum speed at which the go-cart could travel without sliding off this track?

Answer 1

Explanation:

It is given that,

Radius of the circular track, r = 25 m

Mass of the go cart with the rider, m = 200 kg

The magnitude of the maximum centripetal force exerted by the track on the go-cart is 1200 N.

The centripetal force exerted by the track o the go cart is given by :

$F=\dfrac{mv^2}{r}$

v is the maximum speed at which the go-cart could travel without sliding off this track.

$v=\sqrt{\dfrac{Fr}{m}}$

The maximum speed is directly proportional to the force and radius of track. On increasing force and radius and decreasing the mass would increase maximum speed. It is given by :

$v=\sqrt{\dfrac{1200\times 25}{200}}$

v = 12.24 m/s

Hence, this is the required solution.