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Does the escape speed of a body from the Earth depend on (a) the mass of the body, (b) the location from where it is projected, (c) the direction of projection, (d) the height of the location from where the body is launched?
Asked by Abhay Last Modified
Answer 
Total energy of a moving body (of mass m)from earth's surface is given by the sum of potential and kinetic energy viz -(GMm/r)+0.5mv²
To have enough vel so as to reach space, where the potential energy becomes negligible and velocity of body reaches 0, implies that if we use the above equation and equate it to 0, we will get the escape vel.
Thus we see that escape vel should not be dependent on the mass of the body, but depends on vertical vel i.e direction of projextion, height from earth as well as location of earth(since earth is not completely spherical).
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