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Q.

4 kg body travelling at $6 {ms}^{- 1}$ along X - axis collides with a stationary 2kg mass at rest. Velocity of CM of system is

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a

${3ms}^{- 1}$

b

0

c

${4ms}^{- 1}$

d

${6ms}^{- 1}$

answer is D.

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Detailed Solution

Given,

$m_{1} = 4kg, v_{1} = {6ms}^{- 1}$

$m_{2} = {2kg, v}_{2} = 0$

${\vec{v}}_{cm} = \frac{m_{1} v_{1} + m_{2} v_{2}}{m_{1} + m_{2}}$

$= \frac{4 (6) + 2 (0)}{4 + 2} = \frac{24}{6} = 4 {ms}^{- 1}$

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4 kg body travelling at 6ms−1 along X - axis collides with a stationary 2kg mass at rest. Velocity of CM of system is