when calculating work done against gravity, we can rewrite w = fd as... w = mgh w = 1/2mv²
when calculating work done against gravity, we can rewrite w = fd as... w = mgh w = 1/2mv²
Answer
Answer:
W = mgh
Explanation:
Step1: Recall force - gravity relation
Force against gravity $F = mg$ (where $m$ is mass and $g$ is gravitational acceleration).
Step2: Substitute into work formula
Work $W = Fd$, substituting $F = mg$ and distance $d = h$ (height), we get $W= mgh$. Here $W=\frac{1}{2}mv^{2}$ is the formula for kinetic energy, not work against gravity.