A 2.00 kg particle has the ry coordinates (1.20 m, 0.500 m), and a 4.00 kg particle has the ry coordinates (0.600 m, 0.750 m). Both lie on a horizontal plane. At what (a) z and (b) y coordinates must you place a 3.00 kg particle such that the center of mass of the three-particle system has the coordinates (0.500 m, 0.700 m)?

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter10: Systems Of Particles And Conservation Of Momentum
Section: Chapter Questions
Problem 35PQ
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1 A 2.00 kg particle has the xy coordinates (1.20 m, 0.500 m), and a 4.00 kg particle
has the xy coordinates (0.600 m, 0.750 m). Both lie on a horizontal plane. At what
(a) z and (b) y coordinates must you place a 3.00 kg particle such that the center of
mass of the three-particle system has the coordinates (0.500 m, 0.700 m)?
Transcribed Image Text:1 A 2.00 kg particle has the xy coordinates (1.20 m, 0.500 m), and a 4.00 kg particle has the xy coordinates (0.600 m, 0.750 m). Both lie on a horizontal plane. At what (a) z and (b) y coordinates must you place a 3.00 kg particle such that the center of mass of the three-particle system has the coordinates (0.500 m, 0.700 m)?
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