Work A zip line is installed 50 meters above ground level. It runs to a point on the
Chapter 15, Problem 39(choose chapter or problem)
A zip line is installed 50 meters above ground level. It runs to a point on the ground 50 meters away from the base of the installation. Show that the work done by the gravitational force field for a 175-pound person moving the length of the zip line is the same for each path.
(a) \(\mathbf{r}(t)=t \mathbf{i}+(50-t) \mathbf{j}\)
(b) \(\mathbf{r}(t)=t \mathbf{i}+\frac{1}{50}(50-t)^{2} \mathbf{j}\)
Text Transcription:
r(t) = ti + (50 - t)j
r(t) = ti + 1 / 50 (50 - t)^{2}j
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