Three particles are placed in the xy plane. A 40-g particle is located at (3, 4) m, and a 50-g particle is positioned at (-2, –6) m. Where must a 20-g particle be placed so that the center of mass of this three- particle system is located at the origin?

Three particles are placed in the xy plane. A 40-g particle is located at (3, 4) m, and a 50-g particle is positioned at (-2, –6) m. Where must a 20-g particle be placed so that the center of mass of this three- particle system is located at the origin?

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter14: Special Theory Of Relativity

Section: Chapter Questions

Problem 14.37P

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Question

Write your complete justification of the answer on your
paper. (To accept your answer, you should write it as (
x= , y= ) just no-digit below the comma and without
unit):
Three particles are placed in the xy plane. A 40-g
particle is located at (3, 4) m, and a 50-g particle is
positioned at (-2, –6) m. Where must a 20-g particle
be placed so that the center of mass of this three-
particle system is located at the origin?

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