A body of mass $m$ moving with velocity $3 k m / h$ collides with a body of mass $2 m$ at rest. Now the coalesced mass starts to move with a velocity (in km/h) :

1

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Solution

The correct option is A $1$
Initial velocity of moving mass $u_{1} = 3 k m / h$

Initial velocity of stationary mass $u_{2} = 0$

Thus momentum of the system initially $P_{i} = m_{1} u_{1} + m_{2} u_{2}$

$∴$ $P_{i} = 3 m + 0 = 3 m$

Let the velocity of coalesced mass be $V$ .

Thus momentum of the system finally $P_{f} = (m_{1} + m_{2}) V = 3 m V$

Using conservation of linear momentum $P_{i} = P_{f}$

$∴$ $3 m = 3 m V$

$⟹$ $V = 1 k m / h$

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A body of mass m moving with velocity 3km/h collides with a body of mass 2m at rest. Now the coalesced mass starts to move with a velocity (in km/h) :

A body of mass $m$ moving with velocity $3 k m / h$ collides with a body of mass $2 m$ at rest. Now the coalesced mass starts to move with a velocity (in km/h) :