Question

A rocket ejects a steady jet whose velocity is equal to u relative to the rocket. The gas discharge rate equals μ kg/s.

Answer 1

A rocket ejects a steady jet whose velocity is equal to u relative to the rocket. The gas discharge rate equals μ kg/s. Demonstrate that the rocket motion equation in this case takes the form

mw = F-μu

where m is the mass of the rocket at a given moment, w is its acceleration, and F is the external force.


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Answer 2

mw=fμu   where m is mass of the rocket at a given moment and w is accelerations and f is external force

suppose the rocket mass m velocity  v and time t  now the consider the inertial fram moving the velocity that the rocket at a given momentum and removing the gas system acquirse  during the time dt is

dp→=mdv→+μdtu→=f →dt

m dv/dt =f→ -μu→

mw=f - μu