Question

7.12 q: a 1750 - kilogram car travels at a constant speed of 15 meters per second around a horizontal, circular track with a radius of 45 meters. the magnitude of the centripetal force acting on the car is (a) 5.00 n (b) 583 n (c) 8750 n (d) 3.94 10^5 n

Explanation:

Step1: Recall the centripetal force formula

The formula for centripetal force is \(F = \frac{mv^{2}}{r}\), where \(m\) is the mass of the object, \(v\) is the speed, and \(r\) is the radius of the circular path.

Step2: Substitute the given values into the formula

Given \(m = 1750\space kg\), \(v=15\space m/s\), and \(r = 45\space m\).
Substitute these values into \(F=\frac{mv^{2}}{r}\):

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Answer:

C. \(8750\space N\)