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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.
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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.

User Rmhrisk
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1 Answer

3 votes

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 .

User Bob Swart
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