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1. Momentum conservation of asteroid in a dust cloud

m(t) = m_{0} - dm*t Thanks, didn't quite think about that one. Forgot to consider that the amount of mass the asteroid picks up in a set amount of time is dependant on its velocity, and is thus not a constant term.
2. Momentum conservation of asteroid in a dust cloud

Fixed first post.
3. Rocket momentum

Homework Statement A rocket of initial mass m_{0} accelerates from rest in vacuum in the absence of gravity. As it uses up fuel, its mass decreases but its speed increases. For what value of m is its momentum p = mv maximum? Homework Equations Tsiolkovsky rocket equation: v(m) = v_e ln...
4. Momentum conservation of asteroid in a dust cloud

Note: this is one of the suggested practice problems for my second-year classical mechanics course. Homework Statement A spherical asteroid of mass m_{0} and radius R, initially moving at speed v_{0}, encounters a stationary cloud of dust. As the asteroid moves through the cloud, it collects...