Two spherical bodies of mass $$M$$ and $$5M$$ & radii $$R$$ & $$2R$$ respectively are released in free space with initial separation between their centers equal to $$12R$$. If they attract each other due to gravitational force only, then the distance covered by the smaller body just before collision is

If suddenly the gravitational force of attraction between Earth and a satellite revolving around it becomes zero, then the satellite will

The kinetic energy needed to project a body of mass $$m$$ from the earth surface (radius $$R$$) to infinity is

Energy required to move a body of mass $$m$$ from an orbit of radius $$2R$$ to $$3R$$ is