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Unformatted text preview: a (1 + cos θ ) under the action of a force always directed toward the origin. (a) Find the force law. (b) Determine the total energy of the particle in the orbit. Problem 53: [10 pts.] Goldstein, Poole, and Safko, (3rd. ed.) Problem 10, Chapter 3, pg. 128. The following problem was delayed until HW 6. Problem 54: [10 pts.] Consider point particles scattering elastically (angle of incidence equals angle of reﬂection at point of impact) from an inﬁnitely massive, perfectly hard ellipsoid of rotation. The ellipsoid is obtained by rotating the ellipse ( x 2 /a 2 ) + ( y 2 /b 2 ) = 1 about the x axis. The beam of incident particles is directed along the xaxis. (a) Show that the scattered angle Θ is related to the impact parameter s by s = b 2 a ± b 2 a 2 + tan 2 ( Θ 2 ) ²1 / 2 (b) Find the diﬀerential scattering crosssection. (c) What is the total scattering crosssection?...
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 Fall '09
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 Mass, Work, General Relativity, Fundamental physics concepts

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