HW10 - Physics 105: Mechanics Fall 2009 Homework 10 Due...

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Unformatted text preview: Physics 105: Mechanics Fall 2009 Homework 10 Due Friday 11/20 Read sections 8.6-8.7, 9.1-9.6, and 10.1 - 10.6 the text. Do the following problems. 1. Do 8.P.24. 2. Do 8.P.26. 3. Do 8.P.28. 4. Do 8.P.30. 5. Do 8.P.22. 6. Do 9.RQ.14. 7. Do 9.P.20. 8. Consider two particles, 1 and 2, with masses m 1 and m 2 and velocities ~v 1 and ~v 2 . In this problem, you will prove that the kinetic energy of the system, by which we mean K 1 + K 2 , can in fact be written as K trans + K rel . Recall that K trans = (1 / 2)( m 1 + m 2 ) | ~v CM | 2 and K rel = (1 / 2) m 1 | ~v 1 ,rel | 2 + (1 / 2) m 2 | ~v 2 ,rel | 2 . (We are assuming that the speeds are non-relativistic.) (a) Write an expression for K sys = K 1 + K 2 , in terms of the masses and velocities. (b) Using the fact that the velocity of particle 1 relative to the center of mass is ~v 1 ,rel = ~v 1- ~v CM , and similarly for particle 2, show that K 1 + K 2 = K trans + K rel ....
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This note was uploaded on 03/10/2010 for the course PHYS 41 taught by Professor Lou during the Fall '09 term at Georgetown KY.

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HW10 - Physics 105: Mechanics Fall 2009 Homework 10 Due...

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