Problem 1 [30 Pts). An antiproton accelerator. Antiproton source LO Segment1 Segment 11 Antiproton pulses 12 Segment III

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Problem 1 30 Pts An Antiproton Accelerator Antiproton Source Lo Segment1 Segment 11 Antiproton Pulses 12 Segment Iii 1 (66.12 KiB) Viewed 40 times

Problem 1 [30 Pts). An antiproton accelerator. Antiproton source LO Segment1 Segment 11 Antiproton pulses 12 Segment III Target Your company designs an innovative linear accelerator of antiprotons that can precisely deposit electromagnetic energy inside materials. The accelerator is shown in Fig. 1. Antipro- tons have the same mass mp = 1.67 . 10-27 kg as the protons, but negative electric charge e = -1.6. 10-19 C. Antiprotons are emitted from a source and initially travel d; = 150 m in the 3 direction through a linear segment I, then through a curved segment II (turning by 90° with curvature radius R=2.91 m), and then ds =2.7 m in the -y direction through a linear segment III. The flow of antiprotons creates a steady current. mp2167 In segment I, uniform electric field accelerates antiprotons from initial kinetic energy K = 1.3 MeV to kinetic energy Ki = 63. MeV. 1. (G 3 pts). In segment I in Fig. 1, indicate directions of the electric current, the accel- erating electric field, and the electric force on the antiprotons. 2. (S 3 pts). Find the velocity of an antiproton when it exits segment I. 3. S 3 pts). Find the magnitude of the electric field in segment 1. 4. [S3 pts). The source injects 4.-10' pulses of antiprotons per second, with 10" antipro- tons per pulse. Find the electric current through the cross section Lo. 5. (C 3 pts]. Underline that apply: the electric current through L is (a) the same as; (b) smaller than; (c) larger than the current through Lo. Explain your choice.