A body of mass m moving with a speed v suffers an inelastic collision with another body of M at rest and sticks to it. The speed of the composite body will be
A
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B
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C
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D
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Solution
The correct option is B Initial momentum of the system = mv, since body of mass M is at rest. After the inelastic collision, the bodies stick together and the mass of the composite body is (m + M). If V is the speed of the composite body, its momentum will be (m + M)V. From the principle of conservation of momentum, we have mv = (m + M)V or V=(mm+M)v Hence the correct choice is (b).