a moving body A of mass 5kg collides with a stationary body B. If both the bodies move togeather with a speed of 1/3 that of the body A after collision, mass of B is
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Expert's answer
2012-09-13T11:01:52-0400
Let Ia be the momentum of a moving body A before collision, Iab be the momentum of A and B after collision, Va the velocity of A before collision, Vab velocity of A and B after collision, Ma and Mb the masses of A and B respectively. Then
Ia = Ma*Va Iab = (Ma+Mb)*Vab Vab = Va/3 Ia = Iab Ma*Va = (Ma+Mb)*Vab Ma*Va = (Ma+Mb)*Va/3 Ma = (Ma+Mb)/3 Ma = Ma/3 + Mb/3 3*Ma = Ma + Mb 2*Ma = Mb Mb = 2*5 = 10 kg
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