Finding electric force between two particles

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SUMMARY

The electric force between two particles with charges Q (4.9 C) and -3Q (−14.7 C) separated by a distance of 2.5 m can be calculated using Coulomb's equation: F = k * q1 * q2 / r^2, where k = 9.0 x 10^9 N m²/C². The correct calculation involves using the full distance squared, r^2 = 2.5^2, rather than incorrectly dividing the distance. The correct force calculation yields F = 8.64 x 10^11 N, confirming that the initial attempts were flawed due to misapplication of the distance in the formula.

PREREQUISITES
  • Understanding of Coulomb's Law and electric force calculations
  • Familiarity with basic algebra and squaring numbers
  • Knowledge of electric charge units (Coulombs)
  • Ability to manipulate scientific notation
NEXT STEPS
  • Review Coulomb's Law and its applications in electrostatics
  • Practice solving problems involving electric forces between multiple charges
  • Learn about the concept of electric field and its relation to force
  • Explore the implications of charge signs on force direction and magnitude
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Students studying physics, particularly those focusing on electrostatics, as well as educators looking for examples of Coulomb's Law applications in problem-solving.

theskyisgreen
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Homework Statement


Two particles with electric charges Q and −3Q are separated by a distance of 2.5 m.
If Q = 4.9 C, what is the electric force between the two particles?


Homework Equations



Coloumb's equation: F=k*q1*q2/r^2
k=9.0*10^9

The Attempt at a Solution


I just tried to plug in the variables into the above equation.
so I got F= (9e9)*(4.9)*(3*4.9)/((2.5/2)^2)
F= 4.15e11
Apparently, that is not the correct answer, but I don't know what I did wrong!
I also tried to divide that number by 2 to get F= 2.07e11 which was also not right.

What am I doing wrong?
 
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theskyisgreen said:
Coloumb's equation: F=k*q1*q2/r^2
k=9.0*10^9

The Attempt at a Solution


I just tried to plug in the variables into the above equation.
so I got F= (9e9)*(4.9)*(3*4.9)/((2.5/2)^2)
F= 4.15e11
Apparently, that is not the correct answer, but I don't know what I did wrong!
I also tried to divide that number by 2 to get F= 2.07e11 which was also not right.
What am I doing wrong?
If the separation between the charges is r = 2.5 m, then r^2 = 2.5^2, not (2.5/2)^2. I am not sure what all those divisions by 2 are meant to accomplish.
 
Why are you dividing the distance by 2? Consider your signs, too.

[edit: beaten by kuruman. not happy]
 

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