In a two-dimensional space, a particle of mass m, located by its Cartesian coordinates x, y, is subject to a potential of the form V (x − 2y).   when x increases by the arbitrary quantity s, y increase by s/2   (a) Use Noether’s theorem to deduce the constant of the motion.

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In a two-dimensional space, a particle of mass m, located by its Cartesian coordinates x, y, is subject to a potential of the form V (x − 2y).

 

when x increases by the arbitrary quantity s, y increase by s/2

 

(a) Use Noether’s theorem to deduce the constant of the motion.

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