If the kinetic and potential energy in a system are equal, then the potential energy increases. what happens as a result?

total energy increases.
stored energy decreases.
energy of motion decreases.
total energy decreases.

For the principle of conservation of energy, we have to:

Where,

Ei: initial energy

Ef: final energy

The initial energy is given by:

Where,

Ui: initial potential energy

Ki: initial kinetic energy

For the initial state we know that:

Then, for the final state we have:

For conservation of energy we have:

As the potential energy increased, then for the energy to be conserved, necessarily the final kinetic energy must decrease.

Thus,

Kf " class="latex-formula" id="TexFormula6" src="https://tex.z-dn.net/?f=%20Uf%3E%20Kf%20%20" title=" Uf> Kf ">

Energy of motion decreases.

the answer would be c. motion and direction

i hope this : )

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