Round 10: 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 and is related to q and q-dot (10[1])in Hamilton’s equations. Position and the generalized form of this quantity (10[1])are the usual coordinates of phase space. The square (10[1])of this quantity’s (-5[1])“linear” form divided by two times mass (-5[1])equals (-5[1])kinetic (-5[1])energy. (10[1]-5[1])In the general statement of Newton’s third law, force equals the time derivative of this quantity, (-5[1])which is conserved in all collisions. For 10 (10[1])points, name this quantity equal to mass times velocity. ■END■ (10[3]0[1])

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