- #1
ElderBirk
- 6
- 0
Homework Statement
Consider a rocket is subject to linear resistive force, [tex] f = -bv [/tex]. [tex] \dot m[/tex] is constant. Use the equation: [tex] m \dot{v} = -\dot{m }v + f [/tex] to determine the velocity of the rocket :
since the rate of mass lost is constant
let [tex] \dot{m} =k [/tex]
vex = nuzzle velocity
[tex]v = \frac{k}{b} vex (1 - (\frac{m}{m_0})^{\frac{b}{k}})[/tex]
Homework Equations
Already given above
The Attempt at a Solution
let [tex] m= \frac{dm}{dt} \cdot dt = k \cdot dt[/tex]
[tex] k dt \frac{dv}{dt} = -kvex - bv[/tex]
I don't know if cancelling [tex] dt [/tex]'s are allowed but when I solve this equation, it doesn't resemble the expected answer at all.
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