Question

A toy car moves around a circular track at constant speed. It suddenly doubles its speed — a change of a factor of 2. As a result, the centripetal acceleration changes by a factor of (A) 1/2.(B) 4.(C) No change since the radius doesn't change.(D) 2.(E) 1/4.

Answer 1

Answer:

option B

Explanation:

given,

toy car is moving in circular track

speed is doubled— a change of a factor of 2

to find change in factor of acceleration

radius doesn't change

centripetal acceleration formula

           = $\dfrac{v^2}{r}$

velocity is change in factor of 2

so acceleration will be change at the factor of

           = $\dfrac{(2v)^2}{r}$

           = 2² = 4

so the correct answer is option B