The type of energy system is closed or isolated because the total energy of the system is conserved.
The law of conservation of energy states that the total energy of an isolated system remains constant; the energy is conserved over time.
When the potential energy, that was stored in the ball on the high shelf and suspended weights, as well as the stored mechanical energy of the sling shot, had left the system in the form of sound, energy of motion (kinetic energy) and heat, the energy of the system has be conserved.
Thus, the type of energy system is closed or isolated because the total energy of the system is conserved.
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