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The mass of a spaceship is 1000 kg. It i...

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 :

A

`6.4xx10^11` J

B

`6.4xx10^8` J

C

`6.4xx10^9` J

D

`6.4xx10^10` J

Text Solution

Verified by Experts

The correct Answer is:
D

`W=0-(-"GMm"/R)=(GMm)/R=mgR = 1000xx10xx6400xx10^3=64xx10^9J = 6.4xx10^10`
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