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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 $$10\ m/s^2$$ and $$6400$$ km respectively. The required energy for this work will be:
The required energy to escape the Earth's gravitational pull into free space is equal to the magnitude of its initial gravitational potential energy, given by $$E = \frac{GMm}{R} = mgR$$
$$E = (1000)(10)(6.4 \times 10^6) = 6.4 \times 10^{10}\text{ Joules}$$
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