Rocket Mass & Accel: 6000kg, 25m/s2

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To determine the amount of gas a rocket must eject to achieve an acceleration of 25 m/s², starting with an initial mass of 6000 kg and a gas ejection velocity of 2000 m/s, the momentum equation was initially applied. The calculated force was found to be 12,000,000 N, leading to a mass requirement of 480,000 kg, which was incorrect. The user attempted to utilize the velocity equation but lacked the necessary ejection velocity information. The discussion highlights the need for clarity on the correct application of rocket propulsion equations. Accurate calculations are essential for solving rocket mass and acceleration problems effectively.
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Homework Statement


If the rocket has an initial mass of 6000kg and ejects gas at a relative velocity of magnitude 2000m/s , how much gas must it eject in the first second to have an initial acceleration of 25.0m/s^2


Homework Equations


v=v_exln(m_0/m)


The Attempt at a Solution



i tried using momentum to solve the question
6000(2000)=Ft, t=1s, F=12000000, then F=MA,so i 12000000=25m,
m=480000
but it was not correct
then i tried to used the above v equation, but i don't have the v_ex
 
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