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A mass m moves with a velocity v and col...

A mass m moves with a velocity v and collides inelastically with another identical mass. After collision the 1st mass moves with velocity `v/(sqrt3)` in a direction perpendicular to the initial direction of motion. Find the speed of the second mass after collision

A

`(2v)/(sqrt3)`

B

`v/(sqrt3)`

C

`v`

D

`sqrt(3)v`

Text Solution

Verified by Experts

The correct Answer is:
A
Let initial and final direction of motion of `1^(st)` particle be x and y axis respectively and `v_x and v_y` are components of velocity of `2^(nd)` particle.
`implies ` Along x-axis : mv = mvx and along y-axis : `0 = (mv)/(sqrt3) + mv_y`,
`implies " "v_x = v v_(y) = -v/(sqrt3) " "implies " speed " = sqrt(v^2 + ((v)/(sqrt3))^2) = (2v)/(sqrt3)` .
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