PhysicsTwo point 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 gravitational constant, then at a separation r

Two point 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 gravitational constant, then at a separation r

  1. A

    the total mechanical energy of the two objects is zero.

  2. B

    their relative velocity is 10Gmr.

  3. C

    the total kinetic energy of the system of objects is 4Gm2r.

  4. D

    their relative velocity is zero.

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    Solution:

    For (A) : By COME total mechanical energy of the two objects remains same. Initially , both potential and kinetic energy is zero.
    For (B) : By using reduced mass concept
    12μvrel 2G(4m)(m)r=0 where μ=(m)(4m)m+4m=45mvrel =10Gmr
     For (C) total KE=PE=--G(m)(4m)r=4Gm2r

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