Rocket equation Definition and 60 Threads

So, the rocket equation is F_ext = m(dv/dt) + u(dm/dt) where m is the mass of the rocket, v the velocity, u the effective exhaust gases speed, and F_ext the external forces on the system. If we take a constant mass ejection rate p, and take the external force to be the gravitational...

Hi Can anyone help to write rocket equation with strap on booster. The exhaust velocity of the booster rocket and the core rocket is same? and The exhaust velocity of the booster rocket and the core rocket is different?

according to Newtons second law: \vec{F}=\frac{d\vec{p}}{dt}=m\frac{d\vec{v}}{dt}+\vec{v}\frac{dm}{dt}(1) ie force impelled on a body is equal to the rate of change of momentum however when we use calculus to derive rocket equation we get: m\frac{d\vec{v}}{dt}={\vec{v}_{gas\; relative \;to...

In deriving the rocket equation, there is one part I don't understand. The velocity of exhaust with respect to the body is assumed to be constant, where: v(exhaust wrt body)=v(exhaust wrt inertial)-v(body wrt inertial) So assuming a constant mass flow rate, the rocket propellant exerts a...

recenty i read the rocket equation, derivation of, however i think i have a slight confusion with signs suppost initially a rocket has mass= M velocity= \overrightarrow{v} then at a time dt later, mass of rocket= M-dM velocity of rocket= \overrightarrow {v} +d\overrightarrow {v} mass of...

is this equation true Fnet=[m(Vf-Vi)]/Delta T net force is equal to the mass times the change in velocity all over time thanks alot

Hi. I'm curious how the science folks here would see this 'rocket equation' I formulated: Energy (E) = the cube root of mass (m) multiplied by 5 times the speed of light (C). I'm not a mathematician, I'm more into art. It was borne out from my visualization of the universe (an ideal future)...

I'll write the equation first, and then state my problem with it. mv=(m+dm)(v+dv)-dm(v-v') The book says that in the term (m+dm), that dm is a negative quantity. If I believe this, then what about the -dm(v-v') term? Why is dm negative? If I were to derive it I would have (m-dm) and...

I'm trying to derive the relativistic rocket equation, and I'm getting two different answers depending on the method I use. I think the first method is right, and they would agree if not for one sign in the second equation, but I can't seem to get rid of it. Can anyone tell me what I'm doing...

Im having this problem with a rocket equation. Ill state the problem then show what I've done Let M = mass of rocket and fuel M_f = mass of fuel M_0 = rockets total initial mass (including fuel) (this is given as 10^5 kg) V_R = rockets velocity A 10^5 kg rocket has a total...