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Two marbles slide around a circular path of negligible friction. Marble 1, which has a mass of, $m$, travels around a path of radius, $r$ and marble 2, which has a mass of $M$ travels around a path or radius, $R$ such that $R=2r$.

If both marbles travel with the same tangential velocity and the side walls of the track exert the same centripetal force on the marbles,

Which of the following statements best describes the relationship between $m$ and $M$?

A

$m=2M$

B

$2m=M$

C

$m=M$

D

$m=4M$

E

$4m=M$

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