Question

what is escape velocity? obtain an expression for it ( complete dedivation)

Answer 1

DEFINITION: the minimum speed with which a body must be projected in order that it will escape from the Earth gravitational field is called as escape velocity

DERIVATION:
consider a body of mass m on the surface of the earth whose mass and radius are respectively represented by M and R

and earth is F=$\frac{GMm}{ {R}^{2} }$

gravitational potential energy

( G.P.E) =-$\frac{GMm}{R}$.

( w= F.S = $\frac{GMm}{ {R}^{2} } R$

in order to projector body into the space overcoming the earth's gravitational field it must be given a kinetic energy which is equal to its potential energy

therefore:
kinetic energy is equal to potential energy

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Answer 2

Hey mate

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Answer:
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The minimum velocity with which a projectile has to be projected to escape the earth’s gravitational field is called escape velocity.

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