PROBLEM 5 Given: A small child (mass = 16.70 kg) runs towards the ; i edge of a merry-go-round at an unknown speed v in the L \\'_; - direction shown. She jumps on the edge of the merry- -E%q-k:-} go-round, causing it to rotate about its center. Assume B k that the merry-go-round can be modeled as a thin i \\ circular plate with a radius = 1.20 m and mass = 85.0 kg. 3 ' It takes 17.12 seconds for the child and merry-go-round to make one full rotation. Find: What is the child's speed v? Hint: You can ignore moment of inertia contributions from the handholds on the merry-go- round, and you can model the child as a particle