A boy and girl with the same mass m run with the same speed v toward a stationary merry-go-round of radius R that is free to rotate around a frictionless axle through its center. The merry-go-round has moment of inertia Io. (i) If the two students run horizontally and land at the distances R and R/2 as shown in the figure, what will be the magnitude of the angular velocity of the merry-go-round after the students land? (ii) If the girl then walks radially in a straight line to the boy at r = R, what is the final angular velocity of the merry-go-round? aw 大 R 关二 R/2 pplication

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A boy and girl with the same mass m run with the same speed v toward a
stationary merry-go-round of radius R that is free to rotate around a frictionless axle
through its center. The merry-go-round has moment of inertia I9. (i) If the two students
run horizontally and land at the distances R and R/2 as shown in the figure, what will
be the magnitude of the angular velocity of the merry-go-round after the students land?
(ii) If the girl then walks radially in a straight line to the boy at r = R, what is the
final angular velocity of the merry-go-round?
大
一
aw
R/2
-pplication
Transcribed Image Text:A boy and girl with the same mass m run with the same speed v toward a stationary merry-go-round of radius R that is free to rotate around a frictionless axle through its center. The merry-go-round has moment of inertia I9. (i) If the two students run horizontally and land at the distances R and R/2 as shown in the figure, what will be the magnitude of the angular velocity of the merry-go-round after the students land? (ii) If the girl then walks radially in a straight line to the boy at r = R, what is the final angular velocity of the merry-go-round? 大 一 aw R/2 -pplication
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