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State the law of conservation of mechanical energy for an isolated system under conservative forces.

Study flashcard from the deck CSAT (Suneung) essentials: original practice.

Answer

$E_{\text{mech}} = E_k + E_p = \text{constant}$, so $\frac{1}{2}mv_1^2 + mgh_1 = \frac{1}{2}mv_2^2 + mgh_2$.

Explanation

When non-conservative forces such as friction or drag do work, the total mechanical energy changes by $W_{\text{nc}} = \Delta E_{\text{mech}}$.

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