Q.

A body of mass m is situated at a distance 4Re. above the earth's surface, where Re is the radius of earth. How much minimum energy be given to the body so that it may escape

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a

mgRe

b

2mgRe

c

mgRe5

d

mgRe16

answer is C.

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Detailed Solution

Potential energy of the body at a distance 4Re from the surface of earthU=−mgRe1+h/Re=−mgRe1+4=−mgRe5[As h = 4Re (given)]So minimum energy required to escape the body will be mgRe5.
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A body of mass m is situated at a distance 4Re. above the earth's surface, where Re is the radius of earth. How much minimum energy be given to the body so that it may escape