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A body of mass M moving with velocity v undergoes a head on collision with a body of mass m moving with the same velocity but in opposite direction. If the two body stick together after the collision, the speed of the common body will be

a
zero
b
v/2
c
M−mM+mV
d
M+mM−mV

detailed solution

Correct option is C

. The total momentum before collision = (M-m)vMomentum after collision = (M+m) Vwhere y is the speed on composite body. Applying the law of conservation of momentum, we have(M+m)V=(M−m)v V=M−mM+mv

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