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Differential Equations
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Can some one giveme an example problem of calculating newtons second law? If possible one where the mass is changing. Thanks
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If you're just asking for a variable mass problem then a very simple, but solid, beginning problem to solve is for deep space. Calculate the velocity of a particle as a function of its time-varying mass in deep space (Fexternal = 0). Assume an initial velocity of Vo and an initial mass of Mo.
consider standard rocket propulsion where the mass is changing as the fuel is being used to propel the rocket.
\[F= \frac{\mathrm d}{\mathrm dt}(mv)=m\frac{\mathrm dv}{\mathrm dt}+v\frac{\mathrm dm}{\mathrm dt}\]
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