From the conservation of energy,

$\overline{){\mathbf{K}}{{\mathbf{E}}}_{{\mathbf{0}}}{\mathbf{+}}{{\mathbf{U}}}_{{\mathbf{0}}}{\mathbf{=}}{\mathbf{K}}{{\mathbf{E}}}_{{\mathbf{f}}}{\mathbf{+}}{{\mathbf{U}}}_{{\mathbf{f}}}{\mathbf{+}}{{\mathbf{W}}}_{{\mathbf{d}}}}$

Drag has to be accounted for on the "final" side of the energy conservation equation because it is a non-conservative force.

Power,

$\overline{){\mathbf{P}}{\mathbf{o}}{\mathbf{w}}{\mathbf{e}}{\mathbf{r}}{\mathbf{=}}\frac{\mathbf{E}\mathbf{n}\mathbf{e}\mathbf{r}\mathbf{g}\mathbf{y}}{\mathbf{t}\mathbf{i}\mathbf{m}\mathbf{e}}}$

a)

KE_{0} = 0 J

U_{0} = mgd

KE_{f} = (1/2)mv^{2}

A skydiver of mass m jumps from a hot air balloon and falls a distance d before reaching a terminal velocity of magnitude v. Assume that the magnitude of the acceleration due to gravity is g.

a) What is the work (W_{d}) done on the skydiver, over the distance, by the drag force of the air?

b) Find the power (P_{d}) supplied by the drag force after the skydiver has reached terminal velocity v.

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What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Equations for Energy Conservation concept. If you need more Equations for Energy Conservation practice, you can also practice Equations for Energy Conservation practice problems.

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Based on our data, we think this problem is relevant for Professor Hegelich's class at TEXAS.