Answered: Two manned satellites approaching one…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Two manned satellites approaching one another at a relative speed of 0.150 m/s intend to dock. The first has a mass of 5.00 ✕ 103 kg, and the second a mass of 7.50 ✕ 103 kg. If the two satellites collide elastically rather than dock, what is their final relative velocity? Adopt the reference frame in which the second satellite is initially at rest and assume that the positive direction is directed from the second satellite towards the first satellite.

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$text Relative speed of two satellites end text space equals space 0.150 space m over s text mass of first satellite end text left parenthesis m right parenthesis space equals space 5000 space k g space text mass of second satellite end text space left parenthesis M right parenthesis space equals space 7500 space k g space text initial velocity of second satellite end text space left parenthesis u subscript 2 right parenthesis space equals space 0 space m over s text Positive direction is from second satellite to the first one end text text Thus, initial velocity of first satellite end text left parenthesis u subscript 1 right parenthesis space equals space minus space 0.150 space m over s space$

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