I need answers to all the questions within the photos A relatively small merry-go-round, (treated as a solid disc), has mass m and radius Ris initially stationary on ahorizontal surface. A person of mass, (m), stands on the edge of the disc.Without slipping on the disc, the person throws a large stone of mass, (m/ 2; or 0.50m), horizontally at initial speed vofrom a height of h above the ground as shown below.Rm/2Side ViewTop View(5) Does the merry-go-round rotate as a result of the throw? Briefly explain your reasoning.Assume the merry-go-round is not fixed on solid ground, but, rather, is positioned on an icy surface which is treatedas essentially frictionless.(6) In terms of R, m, and vo, derive an expression for the speed of the disc-person system immediately after the stoneis thrown rightward. (Not necessarily all listed variables are used).The person now stands on a similar disc of mass m and radius R that, now, has a fixed pole through its center so thatit can only rotate on the ice. The person throws the same stone horizontally in a tangential direction at initial speed vo,as shown in the figure below.Top View (7) In terms of R, m, and vo, derive an expression for the angular speed, (w), of the combined disc-person objectimmediately after the stone is thrown. (Not necessarily all listed variables are used).(8) The person now stands on the disc at rest a distance RI 2, (or 0.50R), from the center of the disc. The personnow throws the stone horizontally with a speed of vo in the same direction as indicated in Question 7. Is the angularspeed of the disc immediately after throwing the stone from this new position greater than, less than, or equal to theangular speed found in Question 7?Greater thanLess thanEqual toBriefly explain your choice with applications of sound physics principles.

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(7) In terms of R, m, and vo, derive an expression for the angular speed, (w), of the combined disc-person object immediately after the stone is thrown. (Not necessarily all listed variables are used). (8) The person now stands on the disc at rest a distance RI2, (or 0.50R), from the center of the disc. The person now throws the stone horizontally with a speed of vo in the same direction as indicated in Question 7. Is the angular speed of the disc immediately after throwing the stone from this new position greater than, less than, or equal to the angular speed found in Question 7? Greater than Less than Equal to Briefly explain your choice with applications of sound physics principles.

(7) In terms of R, m, and vo, derive an expression for the angular speed, (w), of the combined disc-person object immediately after the stone is thrown. (Not necessarily all listed variables are used). (8) The person now stands on the disc at rest a distance RI2, (or 0.50R), from the center of the disc. The person now throws the stone horizontally with a speed of vo in the same direction as indicated in Question 7. Is the angular speed of the disc immediately after throwing the stone from this new position greater than, less than, or equal to the angular speed found in Question 7? Greater than Less than Equal to Briefly explain your choice with applications of sound physics principles.

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter13: Rotation Ii: A Conservation Approach

Section: Chapter Questions

Problem 47PQ

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