Find speed of an object when it reaches infinity, if it is projected from the earth surface with speed double of escape velocity of earth. [mass and radius of the earth are m and r respectively.].
Answers
=>If the velocity of upward projection is increased, a stage will be reached when the velocity given to the body is such that, the kinetic energy of the body is sufficient to overcome the gravitational influence of the earth. This velocity is known as escape velocity.
=>The escape velocity of a body which is at rest on the earth’s surface Is defined as that minimum velocity with which It should be projected from the surface of the earth so that it escapes from the earth’s gravitational influence.
=>Escape the velocity of a body does not depend on the direction in which the body is thrown from the surface of the planet.
Expression for Escape Velocity of a Satellite:
=>Consider a body of mass ‘m’ which is at rest on the surface of the earth. Let M be the mass of the earth and R be the radius of the earth. Then the binding energy of the body on the surface of the earth is given by
Where G is Universal gravitational constant.