$A$ mass $M$ is split into two parts,$m$ and $(M-m)$,which are then separated by a certain distance. What ratio of $\frac{m}{M}$ maximizes the gravitational force between the two parts?

$A$ gravitational field is present in a region and a mass is shifted from $A$ to $B$ through different paths as shown. If $W_1, W_2$ and $W_3$ represent the work done by the gravitational force along the respective paths,then

The mass of the Earth has been determined through:

Two objects of equal masses placed at a certain distance from each other attract each other with a force of $F$. If one-third mass of one object is transferred to the other object,then the new force will be

$A$ system consists of three particles each of mass $m_1$ placed at the corners of an equilateral triangle of side $\frac{L}{3}$. $A$ particle of mass $m_2$ is placed at the midpoint of any one side of the triangle. Due to the system of particles,the force acting on $m_2$ is

The distance between the centre of the moon and the earth is $D$ and the mass of the earth is $81$ times the mass of the moon. At what distance from the centre of the earth will the net gravitational force on an object be zero?