Question

Chapter 09, Problem 071 In the figure, projectile particle 1 is an alpha particle and target particle 2 is an oxygen nucleus. The alpha particle is scattered at angle 01 = 63.10 and the oxygen nucleus recoils with speed 1.20 x 105 m/s and at angle 02 = 52.0°. In atomic mass units, the mass of the alpha particle is 4.00 u and the mass of the oxygen nucleus is 16.0 u. What are the (a) final and (b) initial speeds of the alpha particle? m2 2729 02 (a) Number Units (b) Number Units

Answer 1

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solution) 0,=63-10 12= 1.20x105 O2 = 520 m = 40 Mo m2 = 1600- (a) v Vf=? 24 Along y-direction, Conservation of momentum vif Piy-sty O M Vaffinch - mi rigsiede pe M v2 Sind = M. Y sind or flos or Vzp Cosen 8.-M, Medine (mt Vidina v is Vip = M₂ V2 finde sind m, Vis = [(14) (v) (1.20 X10*) & (5) de la (40) Sir (63-1) If=424137.93 m/s I vis-4.24x105 fuls (6) Vi=? Cos (52) Along x-direction, Conservation of momentum, (m)(vii) = (mi) (rifloso) + (M2) (V2f) Los O2 (hu) (vii) = (40) (4.24x105) Cos (63-1) + (160) (1.20x105) (40) (V, i) = (19.49x105) us - Vi = 19.49x105 - 4.87xlos [v, i = 4.87 x 10 4