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Two spheres of masses 2M and M are initi...

Two spheres of masses 2M and M are initially at rest at a distance R apart. Due to mutual force of attraction, they approach each other. When they are at separation `R//2`, the acceleration of the centre of mass of spheres would be

A

`0 m//s^(2)`

B

`gm//s^(2)`

C

`3 gm//s^(2)`

D

`12 gm//s^(2)`

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Knowledge Check

  • Two particles of mass M and 2M are at a distance D apart. Under their mutual force of attraction they start moving towards each other. The acceleration of their centre of mass when they are D/2 apart is :

    A
    `2 GM//D^(2)`
    B
    `4 GM//D^(2)`
    C
    `8 GM//D^(2)`
    D
    Zero

  • Two particles of mass m and M are initially at rest and infinitely separated from each other. Due to mutual interaction, they approach each other. Their relative velocity of approach at a separation d between them, is

    A
    `[(2" Gd")/("M "+" m")]^(1//2)`
    B
    `[(2" G"(M+m))/(d)]^(1//2)`
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    D
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  • Two paricle A and B initially at rest, move towards each other under mutual force of attraction. At the instant when the speed of A is V and the speed of B is 2V, the speed of the centre of mass of the system is

    A
    3V
    B
    V
    C
    1.5 V
    D
    zero

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