Assignment6 - Copy - Copy

Assignment6 - Copy - Copy - forces acting. (a) at what...

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PHY 1601 FALL 2011 Week of Oct 24 Reading: Fishbein, Chapter 8 Homework : Due in class Oct 27 . Please solve the following problems; if a number is given the problem is from chapter 7 or 8 of the 3rd edition of Physics for Scientists and Engineers , authors Fishbane, Gasiorowicz and Thornton. (1) Problem 7.16. Please be sure to answer the second part of the question (concerning the possible need for assumptions about the mass of the trampoline’s elastic surface) (2) A variant of the “Lennard-Jones” potential given in terms of a reference energy E LJ and a reference length L as Φ LJ ( R ) = E LJ ± ² L R ³ 10 - ² L R ³ 6 ! Here R is radial distance from the origin. Assume that a particle of mass M is moving in this potential, with no other
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Unformatted text preview: forces acting. (a) at what distances R is it possible for the particle to be in a stable state of uniform circular motion around the origin. (b) for values of R at which uniform circular motion is possible, please determine the velocity as a function of R . Express your answers in terms of L , M and E LJ . Historical note: Lennard-Jones was one British person with a multiple surname. Physics note: the potential is a reasonable representation of the interaction be-tween two neutral atoms: strongly repulsive at short distances and weakly attractive at long distances. (3) Problem 7.34 (4) Problem 7.44 (5) Problem 7.68 (6) Problem 8.24 (7) Problem 8.32 1...
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This note was uploaded on 10/25/2011 for the course MATH 1090 taught by Professor Greenwood during the Spring '08 term at MIT.

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