Two blocks of mass m1 and mg respectively are connected by a spring k of spring constant k and natural length E. The Lagrangian of this coupled system is L = impel + m2m2 k('}2 11:1 f) , where 3:1 and 3:2 are the position of the blocks respectively, with 2:2 > 1:1, and the dot denotes the time derivative. (a) Show that the Lagrangian is invariant under the spatial translation 31):rl+e, and m2}&:2+E, where e is a constant innitesimal parameter. (b) Find the Noether charge associated with the spatial translation. What is its physical meaning