Practicing Success
Practicing Success
CUET Preparation Today
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? |
\(\sqrt{\frac{2GM}{R}}\) \(2\sqrt{2}\sqrt{\frac{GM}{R}}\) \(2\sqrt{\frac{GM}{R}}\) \(\sqrt{\frac{2\sqrt{2}GM}{R}}\) |
\(\sqrt{\frac{2\sqrt{2}GM}{R}}\) |
| 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. |
