With what minimum speed should m be projected from point C in presence of two fixed masses M each at A and B as shown in the figure such that mass m should escape the gravitational attraction of A and B?
Answer & explanation
Correct answer: option 4
Applying Principle of Conservation of energy between point C and infinity
\(\frac{1}{2}mv^2 = 2 \frac{GMm}{\sqrt{2}R}\)
⇒ $v = \sqrt{\frac{2\sqrt{2}GM}{R}}$
it is independent of angle of projection.