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huybinhs
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Homework Statement
The space shuttle, with an initial mass M = 2.81E+6 kg, is launched from the surface of the Earth with an initial net acceleration a = 17.5 m/s2. The rate of fuel consumption is R = 8.20E+3 kg/s. The mass of the shuttle when it reaches orbit is Mo = 6.74E+5 kg. What is the relative speed of the exhaust gas?
The Attempt at a Solution
I got exhaust v = ma dt /dm = 6 km/s
then I got relative speed = exhaust v * (M/Mfuel)
which Mfuel = (2.81* 10^6) - (6.74*10^5) = 2.136 * 10^6 kg
=> I got the relative speed = 1.65 kg/s which is NOT CORRECT!
Please help!