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19 August, 04:43

How do the terminal velocity of two objects compare if they both have the same mass but one has the larger surface area

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  1. 19 August, 06:49
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    Terminal velocity is the speed at which drag force equals weight. If two objects have the same mass (and therefore the same weight), but one has a larger surface area, then the object with the larger surface area will have a lower terminal velocity.

    We can show this using the equation for drag force. When drag equals weight:

    W = D

    mg = ½ρv²CA

    Solving for v²:

    v² = 2mg / (ρCA)

    With m (mass), ρ (air density) and C (drag coefficient) held constant, v decreases as A increases.
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