The value of mass and radius of sun are given by $M_0=2\times {10}^{30} \mathrm{kg}$ and $R_0=7\times {10}^5 \mathrm{km}$, respectively. The pressure at the centre is about $(G=6.67\times {10}^{–11}{\mathrm{m}}^3 {\mathrm{kg}}^{–1} {\mathrm{s}}^{–2})$

Two uniform spheres, each of mass $0.260 \mathrm{kg}$ are fixed at points $A$ and $B$ as shown in the figure. Find the magnitude and direction of the initial acceleration of a sphere with mass $0.010 \mathrm{kg}$ if it is released from rest at point $P$ and acted only by forces of gravitational attraction of sphere at $A$ and $B$ (give your answer in terms of $G \mathrm{m} {\mathrm{s}}^{-2}$ ).

Two planets $A$ and $B$ are fixed at a distance $d$ from each other as shown in the figure. If the mass of $A$ is $M_{\mathit{A}}$ and that of $B$ is $M_{\mathit{B}}$, then find out the minimum velocity of a satellite of mass $M_{\mathit{s}}$ projected from the mid-point of two planets to infinity.