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4. We should like to make a rocket go as fast as possible, but what would...

4. We should like to make a rocket go as fast as possible, but what would be realistic for a final speed? Assume that a rocket starts at rest and in space so that you can neglect gravity. Imagine that the exhaust speed is w = 2,000 m s?1 relative to the rocket.

a. What fraction of the initial mass of the rocket and fuel is not fuel, if the final speed is to be 3,000 m s?1 ?

b. What fraction of the initial mass of the rocket and fuel is not fuel, if the final speed is to be 1.00×10?3 c where c is the speed of light?

c. The Apollo 11 command and service module used by the astronauts had a mass of 28,801 kg. What would be the initial mass of the rocket needed in part b it this were to be the mass that was not the fuel?

Thanks!

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