(Solution) - A particle of mass m moves in one dimension under -(2025 Original AI-Free Solution)

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Academic Level: Undergrad. (yrs 3-4)

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A particle of mass m moves in one dimension under the influence of a force where k and T are positive constants. Compute the Lagrangian and Hamiltonian functions. Compare the Hamiltonian and the total energy, and discuss the conservation of energy for the system.