m v Before After A child with mass m runs with speed v toward a merry go-round t

Question

m v Before After A child with mass m runs with speed v toward a merry go-round that has a moment of inertia I and radius r and jumps onto its rim as shown in the figure above. The merry-go-round is initially at rest. The merry-go-round rotates about its center with no friction. The magnitude of the final angular velocity is w. Which one of the following statements is true? 7.AO The magnitude of the final angular momentum is 2 mrw BO The magnitude of the initial angular momentum is mrv CO The initial angular momentum is zero DO The magnitude of the torque exerted by the child on the merry-go-round is mv2 EO The magnitude of the final angular momentum is Iu

Explanation / Answer

option B is correct

initial angular momentum is Li = Rmv.

Initiallt there is only linear momentum of child.

the rotational inertia of the system after the collision is I=0.5MR2+mR2

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