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Two particles of masses m(1) and m(2) in...

Two particles of masses `m_(1)` and `m_(2)` in projectile motion have velocities `vec(v)_(1)` and `vec(v)_(2)` , respectively , at time `t = 0`. They collide at time `t_(0)`. Their velocities become `vec(v')_(1)` and `vec(v')_(2)` at time ` 2 t_(0)` while still moving in air. The value of `|(m_(1) vec(v')_(1) + m_(2) vec(v')_(2)) - (m_(1) vec(v)_(1) + m_(2) vec(v)_(2))|`

A

zero

B

`(m_(1)+m_(2)) g t_(0)`

C

`2(m_(1)+m_(2))g t_(0)`

D

`(1)/(2)(m_(1)+m_(2))g t_(0)`

Text Solution

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The correct Answer is:
C
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