Question

An object travels in a circular path at speed v and experiences a centripetal acceleration ac. What will be the object's new centripetal acceleration, if its speed is increased to 2.0v?
A. 2.0 · ac
B. 4.0 · ac
C. 1.4 · ac
D. 0.71 · ac

Answer 1

Centripetal acceleration is given by

$a_c = \frac{v^2}{R}$

now here since it depends on square of the speed

now it is given that velocity is double

$a_c = \frac{(2v)^2}{R}$

$a_c = \frac{4v^2}{R}$

So the new centripetal acceleration will be 4 times of initial value

SO here correct answer is option B