jee-main 2012 Q6

jee-main · India · offline Not Maths
The mass of a spaceship is 1000 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 $10\,\mathrm{m/s}^{2}$ and 6400 km respectively. The required energy for this work will be:
(1) $6.4 \times 10^{11}$ Joules
(2) $6.4 \times 10^{8}$ Joules
(3) $6.4 \times 10^{9}$ Joules
(4) $6.4 \times 10^{10}$ Joules
The mass of a spaceship is 1000 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 $10\,\mathrm{m/s}^{2}$ and 6400 km respectively. The required energy for this work will be:\\
(1) $6.4 \times 10^{11}$ Joules\\
(2) $6.4 \times 10^{8}$ Joules\\
(3) $6.4 \times 10^{9}$ Joules\\
(4) $6.4 \times 10^{10}$ Joules