Write an equation for the total energy of a system consisting of a mass suspended vertically from a spring, and include the Earth in the system. Place the origin for gravitational energy at the...

Write an equation for the total energy of a system consisting of a mass suspended vertically from a spring, and include the

Earth in the system. Place the origin for gravitational energy at the equilibrium position of the mass, and show that the

changes in energy of a vertical spring–mass system are the same as the changes in energy of a horizontal spring–mass

system.