Unraveling the Mystery of Electrostatic Force in Honeybees

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Homework Help Overview

The discussion revolves around the electrostatic force between two honeybees, each acquiring a charge of approximately 90.9 pC during flight. Participants are exploring the calculations related to the electrostatic force using Coulomb's law, particularly focusing on the implications of significant figures in their results.

Discussion Character

  • Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants discuss the calculation of the number of electrons transferred to achieve the given charge and the subsequent calculation of the electrostatic force between the bees. Questions arise regarding the accuracy of significant figures and the validity of the computed force value.

Discussion Status

The discussion has progressed with participants providing feedback on the calculations. Some guidance has been offered regarding significant figures, and one participant reports successfully resolving their issue after recalculating with a graphing calculator.

Contextual Notes

There is mention of potential issues with significant digits affecting the calculations, and participants are encouraged to consider this aspect in their problem-solving process.

eMac
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Homework Statement


Measurements show that a honeybee in active flight can acquire an electrostatic charge on the order of 90.9 pC.
a)How many electrons much be transferred to produce this charge?
Ne =5.67*10^8

b) Supposing two bees, both with this charge, are separated by a distance of 14 cm. What is the magnitude of the electrostatic force between the these two bees? (You may treat the bees as point charges.)
FE= 4.0*10^-7 NO

Homework Equations


FE=k (q1) x (q2)/r2

k=8.99 x 10^9

90.9 pC = 9.09 * 10^-11 C

14 cm = .14 m

The Attempt at a Solution



I got part a but I can't get part b

I used Couloumb's equation and...

FE = k (9.09*10^-11)^2 / (.14)^2

and I got 4*10^-9 but it doesn't work where am i going wrong on this problem. Any help would be much appreciated. Thanks in advance.
 
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In what way does 4*10^-9 "not work"?

Perhaps your significant digits are inadequate?
 
gneill said:
In what way does 4*10^-9 "not work"?

Perhaps your significant digits are inadequate?

I really don't know none of the answers I used worked out.
 
Do you know the correct answer?
 
Calculate the force with three significant digits. ehild
 
ehild said:
Calculate the force with three significant digits.


ehild

Thanks, it finally worked. I ended up having to use a graphing calc. to get to the significant digits. My scientific calc. was rounding, which is where my problem emerged. Thanks to everyone for the advice.
 

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