5. A teacher (total mass of 62.5 kg) goes out to manage the kids on the playground during recess and somehow ends up on the merry-go-round. They are standing on the ride's revolving horizontal circular platform, but there are no railings to hold onto on their side of the platform (removed for maintenance perhaps(?)). (a) The teacher is 1.98 meters from the central axis of the ride's horizontal circular platform. This 'wheel', and the teacher standing on it, 'go around' at a rate of 3 revolutions every 12.6 seconds. What is the force required between their shoes and the platform they are standing on to keep them fixed at their position on the ride? (b) What is the net force on (and, net acceleration of) the teacher as they go around and around? (c) What is the minimum coefficient of static friction required to keep the teacher fixed at their position on the ride?

top-down (overhead) view (North is toward the top of this diagram)