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# Ch309 - 1 211 5 to:— 5|:— 1 u 1 The radius of circuiar...

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Unformatted text preview: 1 211 +5, to:— 5|:— 1. u _ 1 The radius of circuiar motion is I 3- Gmamzt’r‘ 3“,]! After the circular motion is stopped. the part1cle with reduced mus: I-l st; to move toward the force center. He can find the equation of nation from conservation of energy: mm: or, Therefore. the time elapsed before collision ‘15 D t=_|'dt-—I “" a 26 1mm: 1 p x where the negative sign ‘Is due to the fact that the time increases as the distance decreases. Rearrang‘lng the integrand. we can write I! t=_/_av_1 “i a; Zﬁmnmza fa-x Setting 3: E 5!” (dx = 2:; ﬂy). the integral In (H becomes nun- D El 2 III x dXIZJ— rLdJ' a 3-K VEVa-x’ Using En. (EJ). Appendix E. we find I: 1:2 _LL“'+Esin-I .1 =-E 2 2 ya 2 1nerefore. '5 t _ J— H 26 mm: 2 or. t g T (2} (3‘: (4} (5} (5] (F: {El [9 ...
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