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Two small bodies of masses 2.00 kg and 4.00 kg are kept at rest at a separation of 2.0 m. Where should a particle of mass 0.10 kg be placed to experience no net gravitational force from these bodies? The particle is placed t this point.What is the gravitational potential energy of the system of three particle with usual reference level? |
Answer» Correct Answer - A::B::C::D Let k0.1 kg mass is xm form 2 kg mass and `(2-x)m` from 4 kg mass. `-.gt (2xx0.1)/x^2=-(4xx0.1)/((2-x^2)^2)` or `0.2/x^2=0.4/((2-x^2)^2)` or 1/x^2=2/((2-x^2)^2)` or `(2-x)^2=2x^2` `=(2-x)^2=2x^2` `or 2-x=sqrt2 x` `x(sqrt2+1)=2` or` x=2/2.414` `=0.83m from 2kg mass`. |
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