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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.

Respuesta :

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

           = [tex]\dfrac{v^2}{r}[/tex]

velocity is change in factor of 2

so acceleration will be change at the factor of

           = [tex]\dfrac{(2v)^2}{r}[/tex]

           = 2² = 4

so the correct answer is option B