Question

The force of gravitational attraction on a mass m a distance r from the center of the earth (r > radius R of the earth) is mgR^2/r^2. Then the differential equation of motion of a mass m projected radially outward from the surface of the earth, with initial velocity.......................continues

Answer 1

initial velocity v0 is

Find v as a function of r if v= v0 initially (i.e. when r = R). Find the maximum value of r for a given v0, that is value of r when v=0, Find the escape velocity, that is, the smallest value ofvo for which r can tend to infinity.