Question

define the term escape velocity.d drive the expression for escape velocity in terms of parameters in given planet.
​

Answer 1

Answer:

Definition

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.

Explanation:

Derive the expression for escape velocity of a projectile from Earth.

Share

Study later

ANSWER

explained above

give me hearts❤️❤️

and

FOLLOW KAR LENA

I'll also follow u back

please make my answer as earliest answer

Answer 2

$\huge\fcolorbox{black}{lime}{AnsweR:}$

Suppose that the planet is a perfect sphere of radius R having mass M. Let a body of mass m is to be projected from point A on the earth's surface as shown in the figure. Join OA and produce it further. Let us take two points P and Q which are at distances and (x + dx) from the center of the earth.

When an object is thrown vertically upwards, it reaches a certain height and comes back to the earth. But when it is given greater initial velocity, it reaches greater height before coming back.

An object can be thrown up with a certain minimum initial velocity so that, the object goes beyond the earth's gravitational field and escape from earth, this velocity is known as the escape velocity of the earth. So, escape velocity is defined as the minimum initial velocity that will take a body away above the surface of a planet when it's projected vertically upwards.

On throwing the object upwards, work has to be done against gravity. If a certain minimum velocity is given to an object, such that the work done against gravity from the planet's surface to infinity(outside the gravitational field of the planet) is equal to the kinetic energy of the object, then it will not return to the planet.

Hope it helps you, Dear!