Question

for an object on the surface of the earth, show that escape velocity, Vesc = root 2gR​

Answer 1

Answer:

Escape Velocity is referred to as the minimum velocity needed by anybody or object to be projected to overcome the gravitational pull of the planet earth. In other words, the minimum velocity that one requires to escape the gravitational field is escape velocity.

Basically, it means escaping the land without any chance of falling back. Therefore, any object or body having escape velocity on the surface of the earth can totally escape the gravitational field of the earth in addition to avoiding the losses due to the atmosphere.

For instance, if you see that a spacecraft leaves the earth’s surface it requires a speed of 7 miles per second or about 25,000 miles per hour to leave the earth without ever falling back to the surface of the earth.