two bodies of respective masses m and M are placed at a distance d apart the gravitational potential at the - Physics - Gravitation

Question

two bodies of respective masses m and M are placed at a distance d
apart the gravitational potential at the position where the
gravitational field due to them is zero is what ? plz dont give
links

Satyendra Singh · Accepted Answer

Dear student,
Find the answer to your query as under:

Let the point where the gravitational potential is zero be at a
distance 'x' from the mass 'm':

Now,
At this point Gmx2= GM(d-x)2mx1=Md-x2d-xx=Mmdx=1+Mmx=d1+Mmx = dmm+Mnow,d-x = dMm+Mnow,V=-Gmx-GMd-xV= -Gmdmm+M - GMdMm+MV =-Gm×m+Mdm - GM×m+MdMV = -Gm×m+M×MdmM - GM×m+M×mdmMV = -GdmMm×m+M×M +M×m+M×m V = -GdmM(mmM + mM + mM + MmM )V= -GmMdmM(m+2mM+M)V = -Gd(m+M)2

Regards
Satyendra Singh

two bodies of respective masses m and M are placed at a distance d apart the gravitational potential at the position where the gravitational field due to them is zero is what ? plz dont give links