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Question:

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 and 6400 km respectively. The required energy for this work will be:

6.4×10¹¹ J

6.4×10⁸ J

6.4×10⁹ J

6.4×10¹⁰ J

Solution:

W = GMm/r = gR²/R × m = mgR = 1000 × 10 × 6400 × 10³ = 6.4 × 10¹⁰