Franco is designing a rocket with 95% of its mass in fuel. He claims that he...

    

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Franco is designing a rocket with 95% of its mass in fuel. He claims that he can deliver a 1000 kg payload to a height of 500 km from the Earth's surface. He calculates that all the fuel will burn out completely at a constant rate in exactly 2 minutes. He plans to launch vertically from the Earth surface. For his prototype, he decides to ignore air resistance, and assumes that the acceleration due to gravity is constant with altitude. What should be the minimum exhaust speed of the rocket so that Franco can succeed? Calculate the minimum exhaust speed of Franco's rocket if air resistance is no longer ignored. Let air resistance be proportional to the square of the rocket's speed with proportionality constant of 0.25. Franco is designing a rocket with 95% of its mass in fuel. He claims that he can deliver a 1000 kg payload to a height of 500 km from the Earth's surface. He calculates that all the fuel will burn out completely at a constant rate in exactly 2 minutes. He plans to launch vertically from the Earth surface. For his prototype, he decides to ignore air resistance, and assumes that the acceleration due to gravity is constant with altitude. What should be the minimum exhaust speed of the rocket so that Franco can succeed? Calculate the minimum exhaust speed of Franco's rocket if air resistance is no longer ignored. Let air resistance be proportional to the square of the rocket's speed with proportionality constant of 0.25.

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Francos rocket has 95 of its mass as fuel The payload mass ... View the full answer