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A mass m moving horizontal (along the x-...

A mass `m` moving horizontal (along the x-axis) with velocity `v` collides and stricks to mass of `3m` moving vertically upward (along the y-axis) with velocity `2v`. The final velocity of the combination is

A

`(3)/(2)vhati+(1)/(4)vhatj`

B

`(1)/(4)vhati+(3)/(2)vhatj`

C

`(1)/(3)vhati+(2)/(3)vhatj`

D

`(2)/(3)vhati+(1)/(3)vhatj`

Text Solution

Verified by Experts

The correct Answer is:
B
From the law of conservation of linear momentum
`mvhati+(3m)(2v)hatj=4mv'`
`v'=(v)/(4)hati+(3)/(2)vhatj`
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