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 at this point. What is the gravitational potential energy of the system of three particle with usual reference level?

Answer

A, B, C, D

Explanation

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`.