The mass of a spaceship is \( 1000 \mathrm{~kg} \). It is to be launched from the earth's surfac...

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The mass of a spaceship is \( 1000 \mathrm{~kg} \). It is to be launched from the earth's surface out into free space. The value of ' \( g \) ' and ' \( R \) ' (radius of earth) are \( 10 \mathrm{~m} / \mathrm{s}^{2} \) and \( 6400 \mathrm{~km} \) respectively. The required energy for this work will be [AIEEE 2012]
(a) \( 6.4 \times 10^{11} \) Joules
(b) \( 6.4 \times 10^{8} \) Joules
(c) \( 6.4 \times 10^{9} \) Joules
(d) \( 6.4 \times 10^{10} \) Joules
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