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

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

Step-by-step explanation:

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

`F_c=(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'=(m(2v)^2)/(r)`

`F_c'=4(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.