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Two blocks of masses 5 kg and 2 kg are p...

Two blocks of masses `5 kg` and `2 kg` are placed on a frictionless surface and connected by a spring. An external kick gives a velocity of `14 m//s` to the heavier block in the direction of lighter one. The magnitudes of velocities of two blocks in the centre of mass frame after the kick are, respectively,

A

`14 ms^(-1)`

B

`7 ms^(-1)`

C

`12 ms^(-1)`

D

`10 ms^(-1)`

Text Solution

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The correct Answer is:
D
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Figure shows two blocks of masses 5 kg and 2 kg placed on a frictionless surface and connected with a spring. An external kick gives a velocity of 14 m//s to the heavier block in the direction of lighter one. Deduce (a) velocity gained by the centre of mass and (b) the separate velocities of the two blocks in the centre of mass coordinates just after the kick.

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Knowledge Check

  • In the above question velocities of two blocks in the centre of mass frame just after the kick are respectively given by :

    A
    4 m/s , 10 m/s
    B
    10 m/s, 4m/s
    C
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    D
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  • Two locks of masses 6 kg and 4 kg are placed on a frictionless surface and connected by a spring.If the heavier mass is given a velocity of 14 ms^(-1) in th direction of lighter one,then the velocity gained by the centre of mass will be

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    `7.4 ms^(-1)`
    B
    `14 ms^(-1)`
    C
    `8.4 ms^(-1)`
    D
    `10 ms^(-1)`
  • Two locks of masses 6 kg and 4 kg are placed on a frictionless surface and connected by a spring.If the heavier mass is given a velocity of 14 ms^(-1) in th direction of lighter one,then the velocity gained by the centre of mass will be

    A
    `7.4 ms^(-1)`
    B
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    C
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    D
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