How Do You Calculate the Electrostatic Force Between Two Charged Particles?

In summary: OA is the distance between A and the origin and OB is the distance between B and the origin. In this case, OA is 0.11 m and OB is 0.68 m. Therefore, the distance between A and B is sqrt(0.11^2 + 0.68^2) = 0.69 m. You can use this distance in the Coulomb's Law equation to find the force on B by A. In summary, the magnitude of the electrostatic force that Particle A exerts on Particle B is 2.38 x 10^-3 Newtons.
  • #1
tag16
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Homework Statement


Particle A with a charge of 45 micro Coulombs is located on the x-axis at a point -11 cm from the origin. Particle B with a charge of 41 micro Coulombs is located on the y-axis at a point +68 cm from the origin. What is the magnitude of the electrostatic force that Particle A exerts on Particle B? (Answer in Newtons.)



Homework Equations



Coulomb's Law: Fe=ke(q1q2/r^2)

The Attempt at a Solution



(8.99x10^9)((45x10^6)(41x10^6))/11^2

(8.99x10^9)((41x10^6)(41x10^6))/2(68^2)

Not sure what to do next or if this is even right so far. I think I have to do something w/ the x and y components and find the degree of the angle, which I'm not sure how to do.
 
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  • #2
First of all convert distances from cm to meter. Then find the distance r between A and B.
Now using the relevant equation find the force on B by A.
 
  • #3
so would it be (8.99x10^9)((4.5x10^-5)(4.1x10^-5))/(.79)^2 ?
 
  • #4
what do you have to do differently when one charge is on the x-axis and the other is on the y-axis as appose to them both being on the x-axis and you just add them together?
 
  • #5
tag16 said:
so would it be (8.99x10^9)((4.5x10^-5)(4.1x10^-5))/(.79)^2 ?
The distance between A and B is sqrt(OA^2 + OB^2)
O.79 m is the distance between A and B if they are on the x axis.
 
  • #6
so what if one of the charges is on the y axis?
 
  • #7
tag16 said:
so what if one of the charges is on the y axis?
Then the distance between A and B is sqrt(OA^2 + OB^2)
 

1. What is the definition of "resultant force"?

The resultant force is the overall force acting on an object after taking into account all the individual forces acting on it. It is a vector quantity that represents both the magnitude and direction of the net force.

2. How do you calculate the resultant force?

To calculate the resultant force, you must first determine the individual forces acting on the object. Then, you can use vector addition to add the forces together and find the resultant force. This can be done by finding the x and y components of each force and then adding them together using the Pythagorean theorem.

3. What is the importance of finding the resultant force?

Finding the resultant force is important because it allows us to understand the overall effect of all the individual forces acting on an object. This is crucial in determining the motion and behavior of the object, and it helps us make accurate predictions and calculations in physics and engineering.

4. Can the resultant force ever be zero?

Yes, the resultant force can be zero if the individual forces acting on an object cancel each other out. This can happen when the forces are equal in magnitude but opposite in direction, or when multiple forces act on different parts of the object in a way that balances out.

5. How does the angle between forces affect the resultant force?

The angle between forces can greatly affect the resultant force. When the forces are acting in the same direction, the resultant force will be greater than either individual force. However, when the forces are acting in opposite directions, the resultant force will be smaller. The angle between forces can also affect the direction of the resultant force, which can be found using trigonometric functions.

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