# Problem: 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 (Wd) done on the skydiver, over the distance, by the drag force of the air?b) Find the power (Pd) supplied by the drag force after the skydiver has reached terminal velocity v.

###### FREE Expert Solution

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)

KE0 = 0 J

U0 = mgd

KEf = (1/2)mv2

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###### Problem Details

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 (Wd) done on the skydiver, over the distance, by the drag force of the air?

b) Find the power (Pd) supplied by the drag force after the skydiver has reached terminal velocity v.