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P2213_HW11_solns_Fall2008 - Physics 2213 HW#11 Solutions...

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- 1 - Physics 2213 HW #11 — Solutions Fall 2008 27.19 [Fusion Reactor] In part (a), apply conservation of energy to the motion of the two nuclei. In part (b) apply In part (a), let point 1 be when the two nuclei are far apart and let point 2 be when they are at their closest separation. (a) . so and . (b) gives . . The speed calculated in part (a) is large, 4% of the speed of light, but still small enough to justify the use of non-relativistic formulas with a reasonable precision. 27.22 [Cosmic Ray Experiment] For motion in an arc of a circle, and the net force is radially inward, toward the center of the circle. The direction of the force is shown in the figure to the right. The mass of a proton is . (a) is opposite to the right-hand rule direction, so the charge is negative. gives . and . (b) . . The magnetic force is much larger than the weight of the particle, so it is a very good approximation to neglect gravity. (c) The magnetic force is always perpendicular to the path and does no work. The particles move with constant speed. 27.60 [TV Picture Tube] Apply . Assume (a) The path is sketched in the figure to the right. (b) Motion is circular: (path of deflected particle) (equation for tangent to the circle, path of undeflected particle). . If , . For a particle moving in a magnetic field, But Thus, the deflection
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- 2 - (c) which is fairly significant. Note: In part (c), and , so the approximation in part (b) is valid.
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