Question

A centripetal force of $F_c$ acts on a car going around a curve. If another car goes around the same curve but with twice the speed, the centripetal force acting on that car is ___________.

Answer 1

Answer:

The centripetal on the car will become 4 times when the velocity gets twice.

Explanation:

As we know that centripetal force on the car of mass m and moving with constant speed v given as

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

m=mass

v=velocity

r=radius of the circular arc

We are assuming that the mass of the both the car is same.

If the velocity of the car gets twice 2 v

The new centripetal force on the car

$F_c'=\dfrac{m(2v)^2}{r}$

$F_c'=4\dfrac{mv^2}{r}$

$F_c'=4\ F_c$

Therefore we can say that centripetal on the car will become 4 times when the velocity gets twice.