Gravitation Question 147

Question: 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]] [MP PET 1999]

Options:

A) About [9.8×106,J]

B) About [6.4×108,J]

C) About [3.1×1010,J]

D) About [27.4×1012,J]

Show Answer

Answer:

Correct Answer: C

Solution:

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



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