An asteroid of mass m is approaching the Earth, initially at a distance of 10R e with…
Physics · NEET · NTA Exams — Gravitation
An asteroid of mass m is approaching the Earth, initially at a distance of 10Re with speed vi. It hits the Earth at a speed vf (Re and Me are radius and mass of the Earth), then
- \(v_{f}^{2}=v_{i}^{2}+\frac{20 m}{M_{r} R}\left(1-\frac{1}{10}\right)\)
- \(v_{f}^{2}=v_{i}^{2}+\frac{2 G M_{r}}{R_{t}}\left(1+\frac{1}{10}\right)\)
- \(v_{f}^{2}=v_{i}^{2}+\frac{26 M_{r}}{R_{r}}\left(1-\frac{1}{10}\right)\)
- \(v_{f}^{2}=v_{i}^{2}+\frac{20 m}{R_{t}}\left(1-\frac{1}{10}\right)\)
Answer
(A) v_ f ^ 2 =v_ i ^ 2 + 20 m M_ r R (1- 1 10 )
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- The Earth is assumed to be a sphere of radius R. A platform is arranged at a height R from the surface of the…
- A body is thrown up with a velocity 10% more than escape velocity v e . When the body escapes the…
- A particle is projected vertically upwards from the surface of the Earth (radius R) with kinetic energy equal…
- A particle falls from rest towards the Earth from infinity. Its velocity on reaching the Earth would be:
- A black hole is an object whose gravitational field to so strong that even light cannot escape from it. To…
- Satellite A of mass m is at a distance of r from the centre of the Earth. Another satellite B of mass 2m is…
- Mass of the Moon is 1/81 times that of the Earth and radius is 1/4 times that of the Earth. If the escape…
- A body of mass M is taken from the surface of the Earth to a height equal to the radius of the Earth. The…