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Q.

How much energy will be necessary for making a body of 500 kg escape from the earth [ g=9.8 m/s2 , radius of earth =6.4×106 m ]

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a

About 9.8×106 J

b

About 6.4×108 J

c

About 3.1×1010 J

d

About 27.4×1012 J

answer is C.

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Detailed Solution

Potential energy of a body at the surface of earthPE=−GMmR=−gR2mR=−mgR=−500×9.8×6.4×106=−3.1×1010JSo if we give this amount of energy in the form of kinetic energy then body escape from the earth.
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