Terminal Velocity and Resistive Forces problem

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SUMMARY

The discussion focuses on the physics problem involving a sky diver with a mass of 81.5 kg reaching a terminal velocity of 50.0 m/s. The user calculated the friction constant (b) as 15.97 using the equation mg = bv. However, the user encountered an issue when calculating the acceleration at a speed of 30.0 m/s, resulting in an incorrect value of 3.921 m/s². Key insights include the importance of significant figures in online submissions and the consideration that drag force may be quadratic rather than linear for large objects.

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Homework Statement


A sky diver of mass 81.5 kg jumps from a slow-moving aircraft and reaches a terminal speed of 50.0 m/s.
(a) What is the acceleration of the sky diver when her speed is 30.0 m/s?

Homework Equations


mg = bv
where b is the friction constant
and v is the terminal velocity

The Attempt at a Solution


b = (81.5)(9.8) / 50
b = 15.97

(81.5)(9.8) - (15.97)(30) = remaining force, or 319.6 Newtons
319.6 N / 81.5 = 3.921

but it seems, 3.921 is not correct. I must be missing something big.
Any help would be appreciated.
 
Last edited:
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A number of things could cause your answer to be off.

Firstly, if you are entering your answers online be careful with your significant figures - online marking software can be very pedantic about such things.

Secondly, were you explicitly told that the drag force was a linear function of velocity because for large objects moving faster than a few m/s the drag force is usually a quadratic function of velocity.
 

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