1.

Two point masses M and 3M are placed at adistance L apart. Another point mass m is placed inbetween on the line joining them so that the netgravitational force acting on it due to masses M and3M is zero. The magnitude of gravitational forceacting due to mass M on mass m will be

Answer»

letGMm = K , a be the distance between M and m .

K/ a^2 = 3K / ( L- a) ^2.

√3a = ( L- a)

a (1 + √3) = L

a = L / ( 1+ √3)

K/ a^2 =K ( 1+ √3)^2/ L^2

= GMm(1+√3)/L^2



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