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In the figure, projectile particle 1 is an alpha particle and target particle 2 is an...

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 θ1 = 66.7° and the oxygen nucleus recoils with speed 1.40 × 105 m/s and at angle θ2 = 50.0°. 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?

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