Question

what is escape velocity?obtain the expression for the escape velocity on earth ?find escape velocity on the surface of the earth.

Answer 1

the initial velocity of a body to escape from earth's gravitational field is called escape velocity.
Earth's escape velocity is 11.2 km/sec.

V=square root of (2GM/R)
here,
v=escape velocity
G=gravitational constant
R=Radius of Earth
M=Mass of Earth

Answer 2

Escape Velocity :- the minimum velocity with which a projectile has to b projected to escape the Earth's gravitational field is termed as ESCAPE VELOCITY

Expression for Escape Velocity -

Let a body of mass m is projected with velocity v ,

Now, P.E = GMm/R

& K.E = 1/2 mVe

(Ve _scape velocity)

To overcome the grace. for ,

K.E must b greater than P.E

1/2mVe2 > GMm/R

Ve > √2GM/R

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