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What is the value of escape velocity for a body to escape from.earth gravitational field

Explain escape velocity details. What is the value of escape velocity for a body to escape from earth gravitational field 

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Expert Solution

Concept of Escape and orbital velocity : 

escape and orbital velocities in simple words then we can say that orbital velocity is the speed required by an object to orbit around another object. Whereas, escape velocity is the minimum speed required by an object to break free from the gravitational pull of another mass.  

Escape velocity definition:.  

We have studied in kinematics that the range of a projectile depends upon the initial velocity as : 

Rmax= U^2/2g 

 

which implies that for a certain initial velocity provided to the particle, the particle flies away from the gravitational influence of the earth.

 

This minimum amount of velocity for which the particle escapes the gravitational sphere of influence of a planet is known as escape velocity (ve). When escape velocity is provided to a body it goes to infinity theoretically. 

Ve=√2Gm/R 

formula, it is clear that escape velocity does not depend upon the test mass (m).

 

If the source mass is earth then the escape velocity has a value of 11.2 km/s.  

If V=Ve the body escapes the planets gravitational sphere of influence,   

   V


Escape velocity:  escape velocity is the minimum speed required by an object to break free from the gravitational pull of another mass. 

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