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neelakash

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*Invariance of the potential energy under time-translations implies conservation of mechanical energy E = K + V , the sum of the kinetic energy K and the potential energy V .

*Invariance of the potential energy under spatial translations parallel to a vector n implies conservation of the momentum component p_n .

*Invariance of the potential energy under rotations about an axis n implies conservation of the component j_n of the angular momentum.