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A car of mass 1500 kg drives in a circle with a constant speed of 18 m/s. What is the radius of the circle if the centripetal force on the car is 3313.6 N? (1 point)

2 Answers

4 votes

Answer:

146.7 m

Step-by-step explanation:

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User Bruno Conde
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The expression for the centripetal force in a uniform circular motion is:

F=m (v^2)/(r)
where m is the mass, v the speed and r the radius of the circle.
The car in our problem has a mass m=1500 kg and a speed v=18 m/s. The intensity of the force is F=3313.6 N, so we can re-arrange the formula to find r, the radius of the circle:

r=m (v^2)/(F)=(1500 kg) ((18 m/s)^2)/(3313.6 N)=146.7 m
User ShgnInc
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