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    Physics
    Mechanics
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    Question

    text  A body of mass  end text 1 Kg text  undergoes elastic collision  with another body at rest and contin-  end text text  useto move in the original direction with   end text 1 divided by 4 text  th of its initial Mass of the  end text o t h e r space b o d y space text end text

    1. 0.4kg
    2. 0.6kg
    3. 0.8kg
    4. 1.2kg

    The correct answer is: 0.6kg

      1 cross times u subscript 1 plus 0 equals 1 cross times v subscript 1 plus m subscript 2 v subscript 2 not stretchy rightwards double arrow v subscript 1 equals u subscript 1 over 4 not stretchy rightwards double arrow m subscript 2 v subscript 2 equals fraction numerator 3 u subscript 1 over denominator 4 end fraction not stretchy rightwards arrow left parenthesis 1 right parenthesis text  Here  end text e equals fraction numerator v subscript 2 minus v subscript 1 over denominator u subscript 1 minus u subscript 2 end fraction equals 1 v subscript 2 minus u subscript 1 over 4 equals u subscript 1 not stretchy rightwards double arrow v subscript 2 equals fraction numerator 5 u subscript 1 over denominator 4 end fraction not stretchy rightwards arrow left parenthesis 2 right parenthesis m subscript 2 fraction numerator 5 u subscript 1 over denominator 4 end fraction equals fraction numerator 3 u subscript 1 over denominator 4 end fraction not stretchy rightwards double arrow m subscript 2 equals 3 over 5 equals 0.6 Kg

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