262_Physics ProblemsTechnical Physics

262_Physics ProblemsTechnical Physics - 264 P9.33 Linear...

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264 Linear Momentum and Collisions P9.33 By conservation of momentum for the system of the two billiard balls (with all masses equal), 500 0 433 300 125 0 4 33 30 0 216 250 600 2 2 2 2 2 .. c o s . . .s i n . . ms ms a t += ° + = + =− ° bg v v v v fx fx fy fy f v FIG. P9.33 Note that we did not need to use the fact that the collision is perfectly elastic. P9.34 (a) pp if = so xi xf = and yi yf = mv mv mv i =+ cos cos θφ (1) 0 mv mv sin sin (2) From (2), sin sin so Furthermore, energy conservation for the system of two protons requires 1 2 1 2 1 2 222 mv mv mv i so v v i = 2 FIG. P9.34 (b) Hence, (1) gives v v i i = 2 2 cos θ 45 0 . φ ° 45 0 . P9.35 mm m m ii f 11 22 1 2 vv v + : 3 00 5 00 6 00 5 00 ± . ± . a f ijv −= vi j 120 . ± . ± ej P9.36 x -component of momentum for the system of the two objects:
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