question_answer

Two stars of masses \[3\times {{10}^{31}}\,kg\] each, and at distance \[2\times {{10}^{11}}m\] rotate in a plane about their common centre of mass O. A meteorite passes through O moving perpendicular to the star's rotation plane. In order to escape from the gravitational field of this double star, the minimum speed (in m/s) that meteorite should have at O is: (Take Gravitational constant\[G=66\times {{10}^{-11}}N{{m}^{2}}\,k{{g}^{-2}}\])

Answer:

\[(\mathbf{2}.\mathbf{8}\times \mathbf{1}{{\mathbf{0}}^{\mathbf{5}}})\]