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Question -

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?



Answer -

a) No

(b) No

(c) No

(d) Yes

Escape velocity of a bodyfrom the Earth is given by the relation:

g = Acceleration due togravity

R = Radius of the Earth

Itis clear from equation (i) that escape velocity vesc is independent of the massof the body and the direction of its projection. However, it depends ongravitational potential at the point from where the body is launched. Sincethis potential marginally depends on the height of the point, escape velocityalso marginally depends on these factors.

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