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In a rocket, the mass of the fuel is 90% of the total mass.The exhaust gases are ejected at a speed of 2 km/s. Find the maximum speed attained by the rocket. Neglect gravity and air resistance and take the initial speed of the rocket to be zero. In a rocket, the mass of the fuel is 90% of the total mass.The exhaust gases are ejected at a speed of 2 km/s. Find the maximum speed attained by the rocket. Neglect gravity and air resistance and take the initial speed of the rocket to be zero.
F = dP/dt = > d(mv)/dt = > vdm/dt + mdv/dtafter integrating something we get,v = uln(mi/m) + vi = 2000 * 2.303*log(0.9) = – 210.75 m/sin opposirte direction of that fuel eecting.
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