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It takes an 813 kg racing car 0.532 minutes to travel at a uniform speed twice around a circular racetrack with a radius of 103 m. What is the centripetal force acting on the car?

Answer :

The centripetal force acting on a 813 kg racing car, traveling at a uniform speed twice around a circular racetrack of radius 103m in 0.532 min, is approximately 12823 N.

To calculate the centripetal force on the car, we first need to convert the time from minutes to seconds as the standard metric unit for time in Physics is seconds. Hence, 0.532 min becomes 0.532 x 60 = 31.92 seconds.

The car travels twice around the racetrack, therefore the total distance covered is the circumference of the racetrack multiplied by 2, or 2 x 2π(103m) = 1294.4 meters.

Next, we calculate the speed of the car, which is distance/time or 1294.4m/31.92s = 40.541 m/s.

Now, we can calculate the centripetal force (Fc) using the formula: Fc = (mass x velocity^2)/radius. Substituting the given and calculated values we get, centripetal force = (813kg x [40.541m/s]^2 )/103m = 12823.328 N.

The centripetal force acting on the car rounding the circular racetrack is therefore approximately 12823 N directed towards the center of the curve.

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