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Three objects A , B and C are kept in a ...

Three objects `A` ,` B` and `C` are kept in a straight line on a smooth horizontal surface. These have masses `m `, `2m` and `3 m` , respectively . The head - on elastic collision takes place between `A` and `B` and then `B` makes completely inelastic collision with `C`. All motions occur on the same straight line. The final speed of `C` will be

Text Solution

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The correct Answer is:
4
After the first collision.

`mv_(A)=mv_(A)^(')+2mv_(B)^(')`
`1=(v_(B)^(')-v_(A)^('))/(0-v_(A))`
`implies v_(B)^(')=6m//s`
After the second collision
`impliesv_(C)=(2/3)v_(B)^(')impliesv_(C)=4m//s`
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Knowledge Check

  • Two particles A and B of masses 10 kg and 38 kg, respectively, are moving along the same straight line with velocities 15 m/s and 3 m/s, respectively, in the same direction. After elastic collision, the velocities of A and B are v_A and v_B , respectively, in the direction of initial motion. Then

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