a body of mass m moving with a constant velocity v hits another body of the mass m moving with same velocity v but in the opposite direction, and sticks to it. The velocity of the compound body after collision is :

zero

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Solution

The correct option is B zero
Here, a body of mass m moving with a constant velocity v hits another body of the mass m moving with same velocity v but in the opposite direction, and sticks to it. We can write
$m_{1} u_{1} - m_{2} u_{2} = (m_{1} + m_{2}) v$
As $m_{1} = m_{2} = m$ and $u_{1} = u_{2} = v$
$2 m v = 0$
$v = 0$

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a body of mass m moving with a constant velocity v hits another body of the mass m moving with same velocity v but in the opposite direction, and sticks to it. The velocity of the compound body after collision is :

The correct option is B zeroHere, a body of mass m moving with a constant velocity v hits another body of the mass m moving with same velocity v but in the opposite direction, and sticks to it. We can writem1u1−m2u2=(m1+m2)vAs m1=m2=m and u1=u2=v2mv=0v=0