In Section 8.6, we considered a rocket fired in outer space where there is no ai

Question

In Section 8.6, we considered a rocket fired in outer space where there is no air resistance and where gravity is negligible. Suppose instead that the rocket is accelerating vertically upward from rest on the earth's surface. Continue to ignore air resistance and consider only that part of the motion where the altitude of the rocket is small so that may be assumed to be constant.

a)How is equation m*dv/dt = -v*dm/dt modified by the presence of the gravity force?

b)Derive an expression for the acceleration of the rocket, analogous to equation a=dv/dv=-v/m 8 dm/dt

Explanation / Answer

a)m*dv/dt = -v*dm/dt-mg b)a=-v/m-g

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