InterviewSolution
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InterviewSolution
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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 rA. the total mechanical energy of the two objects is zeroB. their relative velocity is `sqrt((10Gm)/(r ))`C. the total kinetic energy of the objects is `(4Gm^(2))/(r )`D. the relative velocity is zero. |
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Answer» Correct Answer - A::B::C At infinity total mechanical energy was zero, since mechanical energy conserve, thus total mechanical energy will be zero through the motion of the particles. `K.E.+P.E.=0 rArr K.E.=-P.E.` `K.E.=-((-4Gm^(2))/(r ))` `K.E.=(4Gm^(2))/(r )` `rArr v_(rel) = sqrt((10 Gm)/(r ))` |
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