The mass of space ship is $$2000$$ kg. It is launched from the earth’s surface out into free space. The value of ‘g’ and ‘R’ are $$10$$ $$m/sec2$$ and $$6400$$ km. The required energy for this work will be

Question

The  mass of space ship is $$2000$$ kg. It is launched from the earth’s surface out  into free space. The value of ‘g’ and ‘R’ are $$10$$ $$m/sec2$$     and $$6400$$ km. The required energy for this work will  be

Infinity Learn · Accepted Answer

$$m=2000$$ kg,   $$g=10$$ $$m/sec2$$, $$R=6400$$ $$km=64$$×$$105$$ m $$Wherem=$$ Mass of space $$shipR=$$ Radius of earthRequired energy work $$=GMmR$$            $$($$∵$$g=GMR2)Where$$ $$G=$$ Gravitational $$constantW=mgR$$       $$($$∵$$gR=GMR)$$∴$$W=mgR=2000$$×$$10$$×$$64$$×$$105=128$$×$$109=12.8$$×$$1010J$$

The mass of space ship is 2000 kg. It is launched from the earth’s surface out into free space. The value of ‘g’ and ‘R’ are $10 {m/sec}^{2}$ and 6400 km. The required energy for this work will be

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The mass of space ship is 2000 kg. It is launched from the earth’s surface out into free space. The value of ‘g’ and ‘R’ are 10 m/sec2 and 6400 km. The required energy for this work will be

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The mass of space ship is 2000 kg. It is launched from the earth’s surface out into free space. The value of ‘g’ and ‘R’ are $10 {m/sec}^{2}$ and 6400 km. The required energy for this work will be