Identical cars A and B are traveling at the same speed as they go around two dif

Question

Identical cars A and B are traveling at the same speed as they go around two different curves. If car A goes around a curve of radius 50 m, while car B goes around a curve of radius 100 m, how does the centripetal force on each compare?

a. the centripetal force on car A is four times that on car B.
b. the centripetal force on car A is equal to that on car B.
c. the centripetal force on car A is twice that on car B.
d. the centripetal force on car A is one quarter that on car B.
e. the centripetal force on car A is one half that on car B.

Explanation / Answer

centripetal force = m * v^2 / r

as they are identical M is constant

and given that v are constant

so , centripetaal force is inversely proportional to radius

so option c

is correct

c.the centripetal force on car A is twice that on car B.

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