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Two masses of 0.25 kg each moves towards...

Two masses of 0.25 kg each moves towards each other with speed 3 `ms^(-1)` and 1 `ms^(-1)` collide and stick together. The final velocity will be

A

`0.5 ms^(-1)`

B

`2ms^(-1)`

C

`1 ms^(-1)`

D

`0.25 ms^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
C

Here, `m = 0.25 kg, mu_(1) = 3 ms^(-1), mu_(2) = -1 ms^(-1)`
It si an inelastic collision.
According to conservation of momentum
`mu_(1) + mu_(2) = (m+m)v`
or `v = (mu_(1) + mu_(2))/(2m)` or `v = (u_(1) + u_(2))/2 = 1 ms^(-1)`
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