A merry-go-round with a moment of inertia of 400 kgm2 and radius of 2.00 m spins with an angular speed of 1.00 rad/s.

A merry-go-round with a moment of inertia of 400 kg·m2 and radius of 2.00 m spins with
an angular speed of 1.00 rad/s. A child with a mass of 50 kg, initially standing at rest next
to the merry-go-round, steps onto the edge of the spinning merry-go-round. What is the
angular speed of the merry-go-round after the child steps onto it?
(a) 0.67 rad/s (b) 0.80 rad/s (c) 0.82 rad/s (d) 0.89 rad/s (e) 1.00 rad/s
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