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In the figure take q1 = 69μC , q2 = -30μC , and q3 = 16μC.
Find the electric force on q3.
Fx, Fy = N .
How do I solve this problem?
To solve this problem, you need to calculate the electric force on q3 due to the other two charges, q1 and q2. The electric force can be calculated using Coulomb's Law, which states that the electric force between two charged objects is directly proportional to the product of their charges and inversely proportional to the square of the distance between them.
Let's break down the steps to solve the problem:
1. Identify the given information:
- q1 = 69μC (charge of object 1)
- q2 = -30μC (charge of object 2)
- q3 = 16μC (charge of object 3)
2. Analyze the problem:
- The electric force on q3 is being influenced by the electric fields created by q1 and q2.
- Charges with the same sign repel each other, while charges with opposite signs attract each other.
3. Calculate the electric force:
a. Calculate the distance between q3 and q1 (r1), as well as the distance between q3 and q2 (r2). The distances can be estimated or measured from the given figure.
b. Calculate the electric force on q3 due to q1 (F1) using Coulomb's Law:
F1 = k * |q3| * |q1| / r1^2
- k is the electrostatic constant (approximately 8.99 x 10^9 N*m^2/C^2).
- |q3| and |q1| are the magnitudes (absolute values) of the charges.
- r1 is the distance between q3 and q1.
c. Calculate the electric force on q3 due to q2 (F2) using Coulomb's Law:
F2 = k * |q3| * |q2| / r2^2
- |q3| and |q2| are the magnitudes of the charges.
- r2 is the distance between q3 and q2.
d. Find the x-component and y-component of the electric force on q3:
Fx = F1x + F2x
Fy = F1y + F2y
- F1x and F1y are the horizontal and vertical components of F1.
- F2x and F2y are the horizontal and vertical components of F2.
4. Substitute the given values into the formulas and calculate the result.
It is important to note that without access to the specific figure provided in the link, I cannot determine the exact distances and orientations of q1 and q2 with respect to q3. Therefore, I cannot provide the numerical values for the forces. However, following the steps outlined above should help you solve the problem and find the electric force on q3 in terms of Fx and Fy.