ch09-p082

# ch09-p082 - decrease in their y-velocity-components. This...

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82. (a) This is a highly symmetric collision, and when we analyze the y -components of momentum we find their net value is zero. Thus, the stuck-together particles travel along the x axis. (b) Since it is an elastic collision with identical particles, the final speeds are the same as the initial values. Conservation of momentum along each axis then assures that the angles of approach are the same as the angles of scattering. Therefore, one particle travels along line 2, the other along line 3. (c) Here the final speeds are less than they were initially. The total x -component cannot be less, however, by momentum conservation, so the loss of speed shows up as a
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Unformatted text preview: decrease in their y-velocity-components. This leads to smaller angles of scattering. Consequently, one particle travels through region B , the other through region C ; the paths are symmetric about the x-axis. We note that this is intermediate between the final states described in parts (b) and (a). (d) Conservation of momentum along the x-axis leads (because these are identical particles) to the simple observation that the x-component of each particle remains constant: v f x = v cos = 3.06 m/s. (e) As noted above, in this case the speeds are unchanged; both particles are moving at 4.00 m/s in the final state....
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