A car is moving with a constant speed v on a flat circular track of radius R . The centripetal force required to keep the car in the circular path is F . If the car's speed is tripled and it moves on a new circular

Question

Quantrex Academy · Accepted Answer

Correct answer: D. 3F

The centripetal force required for a car of mass

m

moving with speed

v

on a circular track of radius

R

is given by

F = \dfrac{mv^2}{R}

When the speed is tripled (

v' = 3v

) and the radius is tripled (

R' = 3R

), the new centripetal force

F'

is

F' = \dfrac{m(v')^2}{R'}

F' = \dfrac{m(3v)^2}{3R}

F' = \dfrac{9mv^2}{3R}

F' = 3 \left( \dfrac{mv^2}{R} \right)

F' = 3F

Answer:

3F

A car is moving with a constant speed v on a flat circular track of...

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