An asteroid was fast approaching the earth. Scientists fired a rocket which hit the asteroid at a distance of 5 R from the centre of the earth (R = radius of the earth). mmediately after the hit the asteroid’s velocity `(V_(0))` was making an angle of `theta=30^(@)` with the line joining the centre of the earth to the asteroid. The asteroid just grazed past the surface of the earth. Find `V_(0)` [Mass of the earth = M]

Answer

`V_(0) =sqrt(32/105 (GM)/R)`