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A centripetal force of 1,400 newtons acts on a car rounding a curve with a radius of 150 meters. If the car has a mass of 2,100 kilograms, find its velocity, in meters per second.


Respuesta :

AL2006

In circular motion, the centripetal force is  v²/R , and the
centripetal force is (mass) x (acceleration)  =  M v²/R .

                                              1400  =  2100 v² / 150

Divide each side by  2100 :   2/3     =          v² / 150

Multiply each side by  150 :  100     =         v²

Square root each side:           v       =  10 m/s .

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