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72. [[underlined]] Appendix A [[/underlined]]. [[underlined]] Theory of the Motion with Direct Lift [[/underlined]]. Let M = the mass of the suspended system, comprising the chamber together with any parts rigidly attached thereto, m [[subscript]] 0 [[/subscript]] = the mass of expelled charge, comprising wadding and the attached copper wire, the smokeless powder charge (and also, in the experiments [[underlined]] in vacuo [[/underlined]], the black powder priming charge), V = the initial upward velocity of the mass [[underlined]] M [[/underlined]], v = the [[underlined]] average [[/underlined]] downward velocity of the mass [[underlined]] m [[/underlined]] [[subscript]] 0 [[/subscript]] and s = the upward displacement of the mass [[underlined]] M [[/underlined]], V [[superscript]] 2 [[/superscript]] = 2gs, and employing the Conservation of Momentum, we have for the kinetic energy of the mass [[underlined]] m [[/underlined]] [[subscript]] 0 [[/subscript]], expelled, ^[[v [[superscript]] 2 [[/superscript]]/2 = M [[superscript]] 2 [[/superscript]]/ m [[superscript]] 2 [[/superscript]] [[subscript]] 0 [[/subscript]] gs.]]