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A block C of mass m is moving with veloc...

A block C of mass m is moving with velocity `v_0` and collides elastically with block A of mass m and connect to another block B of mass 2m through spring constant k. What is k if `x_0` is compression of spring when velocity of A and B is same ?

A

`(mv_0^2)/x_0^2`

B

`(mv_0^2)/2x_0^2`

C

`3/2 (mv_0^2)/x_0^2`

D

`2/3 (mv_0^2)/x_0^2`

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The correct Answer is:
D
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Knowledge Check

  • Block C of mass M is moving with velocity V_(0) and collides elastically with block A of mass M and connected to another block B of mass 2M through a spring of spring constant K. What is K if X_(0) is the compression of spring when velocity of A and B is same

    A
    `((MV_(0)^(2))/(X_(0)^(2)))`
    B
    `((MV_(0)^(2))/(2X_(0)^(2)))`
    C
    `((3MV_(0)^(2))/(2X_(0)^(2)))`
    D
    `((2MV_(0)^(2))/(3X_(0)^(2)))`

  • A block A of mass M moving with speed u collides elastically with block B of mass m which is connected to block C of mass m with a spring. When the compression in spring is maximum, the velocity of block C with respect to block A is (Neglect the friction everywhere)

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    zero
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    `(M/(M+m))u`
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    `(m/(M+m))u`
    D
    `(m/M)u`

  • A block 'A' of mass M moving with speed u collides elastically with block B of mass m which is connected to block C of mass m with a spring. When the compression in spring is maximum, the velocity of block C with respect to block A is (neglect friction) :-

    A
    zero
    B
    `M/M + m u`
    C
    `(m/M+ m)u`
    D
    `m/Mu`

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