$\begin{array}{rcl}{\stackrel{\mathbf{\rightharpoonup}}{\mathbf{F}}}_{\mathbf{g}}\mathbf{\xb7}{\mathbf{d}}_{\mathbf{s}}& \mathbf{=}& \mathbf{-}\mathbf{m}\mathbf{g}\hat{\mathbf{j}}\mathbf{\xb7}\mathbf{d}\mathbf{y}\hat{\mathbf{j}}\\ & \mathbf{=}& \mathbf{-}\mathbf{m}\mathbf{g}\mathbf{d}\mathbf{y}\end{array}$

Consider a uniform gravitational field (a fair approximation near the surface of a planet). Find

, where

Express your answer in terms of m, g, y_{0}, and y_{f}.

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