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Three carts move on a frictionless track...

Three carts move on a frictionless track with masses and velocities as shown. The carts collide and stick together after successive collisions. Find the total magnitude of the impulse experience by `A`.
`m_(1)=3kg, m_(2)=1kg, m_(3)=2kg`
`v_(1)=1m//s, v_(2)=1m//s, v_(3)=2m//srarr+ve`

A

`1Ns`

B

`2Ns`

C

`3Ns`

D

`4Ns`

Text Solution

Verified by Experts

The correct Answer is:
C
Let the final velocity of the combined system be `V`, then applying conservation of linear momentum we get
`3xx1+1x-2xx2=6v`
`V=0`
Impulse experiencedby `A=` change in momentum of `A`
`implies J=3[0-1]=-3Ns`
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