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Physics - Collision in one dimension

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The mass of a uranium-238 atom is 3.95*10^-25kg. A stationary uranium atom emits an alpha particle with a mass of 6.64*10^-27kg. If the alpha particle has a velocity of 1.42*10^4m/s, what is the recoil velocity of the uranium atom.

Ans: i tried MaV'a = -MbV'b
i happen to get 2.38*10^2m/s.....
is this the correct answer because the book said it is 2.48...

  • Physics - Collision in one dimension -

    momentum is zero before and after
    0 = mass U * speed U + mass alpha * speed alpha

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