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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/s2 6400 km respectively. The required energy for this work will be ;

A.

6.4 x 1011  Joules

B.

6.4 x 108  Joules

C.

6.4 x 109  Joules

D.

6.4 x 1010  Joules

Answers (1)

best_answer

Mass m = 1000\ kg 

g = 10 \ m/s^{2}

R = 6400\ km =6400\times 10^{3}\ m

Potential energy on earth surface = -mgR

while in free space Potential Energy = 0

so Required Energy = change in Potential Energy = 0-(-mgR)=mgR = 1000 \times 10\times 6400 \times 10^{3} = 6.4\times 10^{10}\ Joules

Posted by

Vishwash Tetarwal

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