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

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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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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Step 1: GIven data

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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