Q.

The mass of spaceship is 1000kg. It is to be launched from the earth’s surface out into free space. The values of ‘g’ and ‘R’ (radius of earth) are 10m/s2 and 6400km respectively. The required energy for this work will be:

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a

6.4 × 1011joules

b

6.4 × 108joules

c

6.4 × 109joules

d

6.4 × 1010joules

answer is D.

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Detailed Solution

E=12mve2=12m2GMR=mGMR=mgR=1000×10×64×105=6.4×1010J

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The mass of spaceship is 1000kg. It is to be launched from the earth’s surface out into free space. The values of ‘g’ and ‘R’ (radius of earth) are 10m/s2 and 6400km respectively. The required energy for this work will be: