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Two point particles of mass m and 2m are...

Two point particles of mass m and 2m are initially separated by a distance 4a. They are then released to become free to move. Find the velocities of both the particles when the distance between them reduces to a.

Text Solution

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`2sqrt((Gm)/(2a)), sqrt((Gm)/(2a))`
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Knowledge Check

  • Two point masses m and M are separated by a distance L. The distance of the centre of mass of the system from m is

    A
    `L(m//M)`
    B
    `L(M//m)`
    C
    `L((M)/(m+M))`
    D
    `L((m)/(m+M))`

  • Two point masses m and M are separated bya distance L . The distance of the centre of mass of the system from m is

    A
    `L(m//M)`
    B
    `L(M//m)`
    C
    `L((M)/(m+M))`
    D
    `L((m)/(m+M))`

  • The center of mass of a system of two particles divides the distance between them.

    A
    in inverse ratio of square of masses of particles.
    B
    in direct ratio of square of masses of particles.
    C
    in inverse ratio of masses of particles.
    D
    in direct ratio of masses of particles.

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