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 :
Escape velocity \[{{v}_{e}}=\sqrt{2gR}\] Kinetic energy of the body required to escape \[KE=\frac{1}{2}mv_{e}^{2}\] or \[KE=\frac{1}{2}m(2gR)\] or \[KE=mgR\] or \[KE=500\times 9.8\times 6.4\times {{10}^{6}}\] \[\Rightarrow \] \[KE=3.1\times {{10}^{10}}J\]You need to login to perform this action.
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