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A particle of mass m moving eastward wit...

A particle of mass `m` moving eastward with a velocity `V` collides with another particle of same mass moving northwards with the same speed `V`. The two particles coalesce and the new particle moves in NE direction. Calculate magnitude and direction of velocity of new particle.

A

`v//2`

B

`2v`

C

`v//sqrt2`

D

v

Text Solution

Verified by Experts

The correct Answer is:
C
`m_1v_1 hati + m_2v_2 hatj =2m .v_3`
`implies mvhati+m_2v_2hatj=2m.v_3`
`implies mvhati+mvhatj =2mv_3`
`implies vsqrt2 =2v_3`
`implies v_3 = v/sqrt2`
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