Obviously, we can make rockets to go very fast, but what is a reasonable top speed? Assume that a rocket is fired from rest at a space station in deep space, where gravity is negligible. Assume that c = 3.00 × 108 m/s.
Part A: If the rocket ejects gas at a relative speed of 1600 m/s and you want the rocket's speed eventually to be 2.00×10−3 c, where c is the speed of light, what fraction of the initial mass of the rocket and fuel is not fuel?
Part B: What is this fraction if the final speed is to be 3400 m/s ?
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