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57. The centripetal force on the airplane above is quadrupled  while keeping the radius the same.  What happens to the velocity of the airplane?
   
A. one-fourth as much C. doubled
B. one-half as much D. quadrupled
        
                        m v                        r x Fcentripetal 
Fcentripetal = -----------   =>    v = (-----------------------) 1/2
                           r                                   m

   
If the centripetal force is quadrupled, the velocity is doubled.