Question

1. a 0.5 kg car rolls through a vertical loop with a radius of 0.3 m. determine the minimum speed the car must have to make it around the loop.
2. a 1000 kg car rounds a flat, circular turn with a radius of 12 m at a constant speed of 5 m/s. determine the friction force on the car.
3. a 0.002 kg coin revolves around a turntable at a radius of 0.1 m and a constant speed of 1.5 m/s. determine the friction force on the coin.
4. a 0.1 kg ball is spun by a string in a horizontal circle with a radius of 0.5 m in the air with uniform circular motion, known as a conical pendulum. determine the speed of the ball if the angle shown is measured at 30°.

Explanation:

Step1: Use centripetal force formula

The centripetal force \(F_{c}=\frac{mv^{2}}{r}\), where \(m = 1000\space kg\), \(v = 5\space m/s\), \(r=12\space m\)

Step2: Calculate the friction force

Since the friction force provides the centripetal force \(F_{f}=F_{c}\)

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Answer:

The friction force on the car is approximately \(2083.33\space N\)