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Consider a rocket at rest in empty space. What must be its mass ratio (ratio of initial to final mass) in order that, after firing its engine, the rocket's speed is (a) equal to the exhaust speed and (b) equal to twice the exhaust speed?

Consider a rocket at rest in empty space. What must be its mass ratio (ratio of initial to final mass) in order that, after firing its engine, the rocket's speed is (a) equal to the exhaust speed and (b) equal to twice the exhaust speed?

Grade:upto college level

1 Answers

Deepak Patra
askIITians Faculty 471 Points
6 years ago
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Therefore, the mass ratio for which the final velocity of rocket is equal to the relative velocity of exhaust gases is 2.72.
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Therefore, the mass ratio for which the final velocity of rocket is equal to the twice the relative velocity of exhaust gases is 7.38.

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