A small rocket is launched (from rest) in space, far away from gravitational influences of other objects. Calculate the ratio of the final mass of the rocket that can reach a speed of 5,000 m/s to the final mass of the rocket that can reach a speed of 3,302 m/s. Assume that in both cases the initial mass of the rocket and the fuel is the same, and take the exhaust speed to be 1,652. Express your answer to three decimal places

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A small rocket is launched (from rest) in space, far away from gravitational influences of other objects. Calculate the ratio of the final mass of the rocket that can reach a speed of 5,000 m/s to the final mass of the rocket that can reach a speed of 3,302 m/s.  Assume that in both cases the initial mass of the rocket and the fuel is the same, and take the exhaust speed to be 1,652.  Express your answer to three decimal places.

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