1. A skydiver of mass m jumps from a hot air balloon(at rest) and falls a distan

Question

1. A skydiver of mass m jumps from a hot air balloon(at rest) and falls a distance d before reaching aterminal velocity of magnitude vt . Assume that the magnitude of the acceleration due to gravity isg and that air resistance (drag) is an importanteffect. Do not assume anything about the form (linear,quadratic) of the drag force. However, the drag force won'tbe constant as the velocity is increasing.

(a) Find an expression for the work Wd done on theskydiver, over the distance d, by the drag force of theair?

(b) Find an expression for the power Pd supplied by thedrag force after the skydiver has reached the terminal velocityvt

THANKS!!!

Explanation / Answer

mgd = mgd -W +1/2mvt2 so W = 1/2 mvt2

F by drag after reaching the terminal velocity = mg(forceof gravity) Pd = Fv =mgvt so W = 1/2 mvt2

F by drag after reaching the terminal velocity = mg(forceof gravity) Pd = Fv =mgvt

F by drag after reaching the terminal velocity = mg(forceof gravity) Pd = Fv =mgvt

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