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.
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...
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...