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

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]

The escape velocity from the surface of the earth is (where R_(E) is the radius of the earth )

The escape velocity from the surface of the earth is (where R_(E) is the radius of the earth )

A body at rest starts from a point at a distance r (gtR) from the centre of the Earth. If M and R stand for the speed of the body when it reaches the Earth surface is