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A fighter pilot with a mass of 50kg wishes to pull their fighter into a vertical circle while traveling at a horizontal speed of 270m/s. A fighter pilot can handle up to 9 g's without blacking out.

Which of the following values best represents the radius of the smallest circular path the pilot can make at this speed?

A

$827.0m$

B

$0.306m$

C

$3.06m$

D

$827.0km$

E

$0.306km$

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