Determine the charge on each ball

[arslion]

Homework Statement

Two equally charged balls,each of mass 0gm are suspended from the same point by threads 13 cm long..the ball come to rest 10 cm apart due to repulsion..

Homework Equations

Determine the charge on each ball

The Attempt at a Solution

Numerical prob i don't know wat the answer is

 

[rock.freak667]

Homework Equations

$$F= \frac{Q_1 Q_2}{4 \pi \epsilon_0 r^2}$$

$$\Sigma F_x=0 \ \Sigma F_y=0$$

those might help

The Attempt at a Solution

Numerical prob i don't know wat the answer is

you need to show some effort before we can help you.

 

[tomcue]

,but i think the charge on each ball would be the same but opposite in sign. This can be determined by using Coulomb's law, which states that the force of repulsion between two charged objects is directly proportional to the product of their charges and inversely proportional to the square of the distance between them. Since the balls are equally charged and repelling each other, we can set up the following equation:

F = k(q1q2)/d^2

Where F is the force of repulsion, k is the Coulomb's constant, q1 and q2 are the charges on the balls, and d is the distance between them.

We know that the balls are suspended 13 cm apart and come to rest at a distance of 10 cm, so we can set up the following equation:

k(q1q2)/13^2 = k(q1q2)/10^2

Simplifying this equation, we get:

10^2(q1q2) = 13^2(q1q2)

We can cancel out the q1q2 on both sides, leaving us with:

100 = 169

This is not a true statement, so our initial assumption that the balls have equal and opposite charges must be incorrect. In order for the equation to be true, the charges on the balls must be different. Therefore, the charge on each ball cannot be determined without more information about the system. We would need to know the value of either q1 or q2 in order to solve for the other.