Question

# Jazmine is giddy with excitement for on this day, Magic Carpet had promised Jazmine an enchanting ride, by herself this time! Overexcited by the exhilaration of freedom and flight, Jazmine rushes onto the magic carpet and into a seated position. She shouts, "Let's go Carpet, fly me around!" The magic carpet swiftly takes off but interprets the command too literally and flies "around and around" in vertical loops. The carpet always stays upright and let's assume we can treat the carpet at all times as a perfectly flat, rigid, horizontal surface that Jazmine sits atop, as shown in the figure. Jazmine's mass is 49.6 kg and the carpet's repeating vertical circular loops have a radius of R = 5 m. Throughout this problem, you may assume that the friction force between the carpet and Jazmine is strong enough to prevent sliding.

If Jazmine's speed at the bottom of the loop is v = 3.79 m/s, what is the normal force the carpet exerts on Jazmine at the bottom of the vertical loop? What is the normal force the carpet exerts on Jazmine at the top of the vertical loop if Jazmine has the same speed as in Part a)? If the speed of the circular motion is too high, Jazmine will start to be thrown off of the carpet (and Magic Carpet will be big trouble)! If Jazmine loses contact with the carpet, what would be the value of the normal force the carpet exerts on Jazmine? Same as in part b) O Infinite Same as in part a) O Zero At what speed will Jazmine begin to lose contact with the carpet at the top of the loop?

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