Question

3. Suppose Alice constructs a road that has the shape of a vertical, circular loop with radius R 2m To be clear, by vertical loop it is meant that gravity points downwards as shown in the figure. Alice wants to drive her motorcycle around the loop such that at all times her motorcycle remains in contact with the road. a) What is the inim speed that Alice needs to travel at such that she does not fall when she is at the top of the loop (point C)? b) If Alice travels at the minimum speed you calculated in part a) at all times, find the normal force from the road when Alice is at the top of the loop (point C), halfway to the top of the loop (point B), and at the very bottom of the loop (point A). What if Alice travels at twice the minimum speed? Suppose that Alice and the motorcycle have a combined mass of m 250kg c) Does the normal force from the road do work on Alice? Why or why not? d) Suppose Alice travels from point A to point C at the minimum speed caleulated in part a). During this segment of tually integrating the gravitational force along the circular loop (the path that Alice takes) and second by using the fact that gravity isa conservative force

Answer 1

C ot top most. poin at pont B mvr

SD the wonk dore along tha cuve 2. bu conselvation