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A space vehicle of 1 tonne mass is to take off from the Moon and fly to the Earth. Find the amount of fuel required. Compare the result with the amount of fuel needed to send an identical vehicle from the Earth. Assume the rocket to be a single-stage vehicle.

Answer»


Solution :The escape VELOCITY for the Moon is`v=sqrt(2gammaM_CC//R_CC)=2.4km//s`,ASSUMING the exhaust velocity of the GASES to be 4 km/s, we OBTAIN with the aid of the Tsiolkovsky formula Mfuel = =0.83 ton. For the EARTH the escape velocity is 11.2 km/s, and the mass of fuel is M fuel = 15.6 tons.


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