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Two objects of masses m and 4m are at re...

Two objects of masses `m` and `4m` are at rest at an infinite separation. They move towards each other under mutual gravitational attraction. If `G` is the universal gravitaitonal constant, then at separation `r`

A

The tatal energy of the two object is zero

B

Their relative velocity of approach is `((10Gm)/(r))^(1//2)` amplitude

C

The total kinetic energy of the object is `(4Gm^(2))/(r)`

D

Net angular momentum of both the particles is zero about any point

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A, B, C, D
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Knowledge Check

  • Two objectes of mass m and 4m are at rest at and infinite seperation. They move towards each other under mutual gravitational attraction. If G is the universal gravitational constant. Then at seperation r

    A
    the total energy of the two objects is zero
    B
    their relative velocity of approach is `((10GM)/( r))^(1//2)` in magnitude
    C
    the total kinetic energy of the objects is `(4 Gm^(2))/( r)`
    D
    net angular momentum of both the particles is zero about any point

  • Two objects of massses m and 4 m are at rest at infinite separtion they move twoards each other under mutula gravitonal attraction then at a separation r which of the following is true ?

    A
    the total energy of the system is not zero
    B
    the force between them is not zero
    C
    the centre of mass of the system is at rest
    D
    all the above are true

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    B
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    C
    centre of mass of system will remain at rest in all the references frame.
    D
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