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Problem 1: In class we watched a video involving a motor cycle and a playground merry-go-round (https://www.youtube.com/watch?v=btxMd5mbPeM). We will consider the two people on the merry-go-round to be 85 kg point masses located at the edge of a 200 kg solid disk with a radius of 1.5m. a) Calculate the moment of inertia for the system of two 85 kg point masses at 1.5 m and a 200 kg solid disk of radius 1.5m b) After 6 seconds of the motorcycle applying a force at the radius of the merry-go-round, the system rotates at 1 revolution per second. Calculate the average force applied by the motorcycle on the system during the six second interval. Hint: Given a time interval and impulse, which is a change in momentum, average forces and torques can be calculated. c) Once the unfortunate person is released (without putting a net torque on the remaining parts of the system), they leave with linear momentum that is tangent to the merry-go-round – thus leaving with angular momentum. Does the remaining person/merry-go-round rotational velocity speed up, slow down or remain the same?