A) About \[9.8\times {{10}^{6}}\,J\]
B) About \[6.4\times {{10}^{8}}\,J\]
C) About \[3.1\times {{10}^{10}}\,J\]
D) About \[27.4\times {{10}^{12}}\,J\]
Correct Answer: C
Solution :
Potential energy of a body at the surface of earth \[PE=-\frac{GMm}{R}=-\frac{g{{R}^{2}}m}{R}\]= \[-mgR\] = \[-500\times 9.8\times 6.4\times {{10}^{6}}\]= \[-3.1\times {{10}^{10}}J\] So if we give this amount of energy in the form of kinetic energy then body escape from the earth.
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