So then my assumption $$\Delta v=a*\Delta t \text{ where } a=\frac{F-G}{m}$$ is wrong, because I am only interested in the acceleration and Δv which came from the thrust only?
Maybe I wasn't clear enough, given are thrust, Δm and the total mass.
So to calculate the relative velocity w $$ w=-\frac{F}{\Delta m / \Delta t} $$ could be used, I know that, but I would prefer to calculate it with the conservation of linear momentum, since I try to explain the concept. The...
Homework Statement
vertical rocket start:
F_thrust (simple F)
Δm (fuel consumed per Δt)
m_tot
the relative velocity of the gas w is demanded.
Homework Equations
vgas=v+Δv+w, w<0
m(t)=mtot-Δm*t
The Attempt at a Solution
rocket acceleration.
F-G=m(t)*a(t)
a(t)=F/m(t)-g
first...