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An asteroid was fast approaching the ear...

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]

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An asteroid of mass m (m lt lt m_E) is approaching with a velocity 12 km/s when it is at distance of 10 R from the centre of earth (where R is radius of earth). When it reaches at the surface of Earth, its velocity is (Nearest Integer) in km/s