(Solution) - An extremely well constructed rocket has a mass ratio m0 m of -(2025 Original AI-Free Solution)

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Academic Level: Undergrad. (yrs 3-4)

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An extremely well-constructed rocket has a mass ratio (m0/m) of 10. A new fuel is developed that has an exhaust velocity as high as 4500 m/s. The fuel burns at a constant rate for 300 s. Calculate the maximum velocity of this single stage rocket, assuming constant acceleration of gravity. If the escape velocity of a particle from the earth is 11.3km/s, can a similar single-stage rocket with the same mass ratio and exhaust velocity be constructed that can reach the moon?