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

[iamwilson]

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

 

[Snazzy]

You already have a thread on this very same question in this very same sub-forum.

 

[Moetasim]

values, so i cannot solve the problem

I would first like to clarify that the given information is not enough to accurately solve for the amount of gas that the rocket must eject in the first second. The equation provided, v=v_exln(m_0/m), is the rocket equation that relates the change in velocity of the rocket to the mass of the rocket and the amount of gas ejected at a specific velocity. However, in order to use this equation, we need to know the exhaust velocity (v_ex) and the initial mass of the rocket (m_0). Without these values, it is not possible to solve for the amount of gas ejected.

Additionally, the equation used for calculating momentum (p=mv) is not applicable in this scenario as the gas is being ejected at a relative velocity, not a velocity that is directly related to the mass of the rocket.

In order to accurately solve this problem, we would need to have more information such as the exhaust velocity and the initial mass of the rocket. Without this information, it is not possible to provide a definite answer.