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Question
an object falls off a cliff. what remains constant?
Step1: Recall energy - conservation principle
In the absence of non - conservative forces (such as air resistance being neglected here), the mechanical energy of the object is conserved. Mechanical energy \(E = KE+PE\), where \(KE=\frac{1}{2}mv^{2}\) (kinetic energy) and \(PE = mgh\) (potential energy). As the object falls, its potential energy is converted into kinetic energy, but the sum of kinetic and potential energy remains the same.
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The mechanical energy of the object remains constant.