(9%) Problem 11: Two ice skaters, each with the same mass, m, skate in opposite directions...

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(9%) Problem 11: Two ice skaters, each with the same mass, m, skate in opposite directions at the same speed of v. For the purposes of this problem, treat each skater as a point mass. Their velocities are parallel to the dashed line in the diagram, and initially they are each a distance di from the dashed line. When they meet, they join hands and rotate about their common center of mass, but each is now a distance df from their clasped hands. BEFORE AFTER di V A 25% Part (a) Write an expression for the angular speed of the skaters after they join hands. Your answer will be in terms of the symbols introduced in the problem statement. wf = || h β Y 0 df d₁ g ()7 9 14 8 HOME 5 6 j k * 1 2 3 m n P + 0 END Q S V VO BACKSPACE CLEAR Submit Hint Grade Summary Deductions Potential Submissions 0% 100% Attempts remaining: 3 (0% per attempt) detailed view Hints: 2% deduction per hint. Hints remaining: Feedback I give up! Feedback: 2% deduction per feedback. 25% Part (b) The skaters each have a mass of 57.2 kg and a speed of 3.9 m/s. Just before they join hands, they are a distance 0.37 m from their central axis. What is their angular speed, in units of radians per second, after they begin to rotate and each are at a distance of 0.69 m from the axis of rotation? A 25% Part (c) What is the initial kinetic energy of the skaters, in joules, before they join hands? A 25% Part (d) What is the final kinetic energy, in joules, after they join hands? (9%) Problem 11: Two ice skaters, each with the same mass, m, skate in opposite directions at the same speed of v. For the purposes of this problem, treat each skater as a point mass. Their velocities are parallel to the dashed line in the diagram, and initially they are each a distance di from the dashed line. When they meet, they join hands and rotate about their common center of mass, but each is now a distance df from their clasped hands. BEFORE AFTER di V A 25% Part (a) Write an expression for the angular speed of the skaters after they join hands. Your answer will be in terms of the symbols introduced in the problem statement. wf = || h β Y 0 df d₁ g ()7 9 14 8 HOME 5 6 j k * 1 2 3 m n P + 0 END Q S V VO BACKSPACE CLEAR Submit Hint Grade Summary Deductions Potential Submissions 0% 100% Attempts remaining: 3 (0% per attempt) detailed view Hints: 2% deduction per hint. Hints remaining: Feedback I give up! Feedback: 2% deduction per feedback. 25% Part (b) The skaters each have a mass of 57.2 kg and a speed of 3.9 m/s. Just before they join hands, they are a distance 0.37 m from their central axis. What is their angular speed, in units of radians per second, after they begin to rotate and each are at a distance of 0.69 m from the axis of rotation? A 25% Part (c) What is the initial kinetic energy of the skaters, in joules, before they join hands? A 25% Part (d) What is the final kinetic energy, in joules, after they join hands?