please show all work and formulas!! In a playground there is a small merry-go-ro

Question

please show all work and formulas!!

In a playground there is a small merry-go-round of radius 1.25 m and mass 175 kg. Assume the merry-go-round to be a uniform disc. A child of mass 45 kg runs at a speed of 3.0 m/s tangent to the rim of the merry-go-round (initially at rest) and jumps on. If we neglect function. what is the angular speed of the many-go- round after the child has jumped on and is standing at its outer rim? B 0 82 rad/s

Explanation / Answer

from angualr momentum conservation; mvr = [(M*r^2/2) + m*r^2]*w => 45*3*1.25 = [(175*1.25^2/2) +(45*1.25^2)] *w => w = 0.815 rad/s

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