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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.]]