Round 11: Tossup 19

A form of this quantity is the associated Noether (“NURR-turr”) current when the Lagrangian does not depend on a given coordinate. This quantity’s “conjugate” form equals the derivative of the Lagrangian with respect to generalized velocity (10[1])and is related (10[1])to q and q-dot in Hamilton’s equations. Position and the generalized form of this quantity are the usual coordinates of phase (10[1])space. The square of this quantity’s “linear” form divided by two times mass (10[1])equals kinetic energy. (10[1]-5[1])In the general statement (10[1])of Newton’s third (-5[1])law, force equals (-5[1])the time derivative of this quantity, (-5[1])which is conserved in all collisions. (10[1]-5[1])For 10 points, name this quantity equal to mass times velocity. ■END■ (10[4]0[1])

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