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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 the earth) are 10 m/s² and 6400 km respectively. The required energy for this work will be 6.4 x 10ⁿ joules. Then value of 'n' is:
Option: 1
10

Option: 2
8

Option: 3
9

Option: 4
11

Answers (1)

best_answer

Energy required = $\frac{GMm}{R}$

$g = \frac{GM}{R^2} = > |GM=gR^2|$

$\therefore E = gR^2 \frac{m}{R} \Rightarrow E=mgR$

$E = 1000\times 10\times 6400\times 10^3$

$= 64\times 10^9$

$= 6.4\times 10^{10}$

$Ans - (4)$

Posted by

manish painkra

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