# Calculate Electrostatic Force: Metal Spheres 3.00x10^-6C & 2.00x10^-6C @12.0cm

• Aamun
In summary, the problem involves two metal spheres with a negative charge of 3.00x10^-6C and a positive charge of 2.00x10^-6C, placed 12.0 cm apart. After momentarily touching, they return to their original positions. The electrostatic force acting on the spheres is calculated using the equation Fe=kq1q2/r^2, and the correct answer is 1.56x10^-1 N in a repulsive force. The issue with the formula is that charge is transferred when the spheres touch, so the final charge on each sphere must be determined before using the equation.
Aamun

## Homework Statement

A metal sphere with a negative charge of 3.00x10^-6C is placed 12.0 cm from another similar metal sphere with a positive charge of 2.00x10^-6C. The two spheres momentarily touch, then return to their original positions. Calculate the electrostatic force acting on the two metal spheres.

Fe=kq1q2/r^2

## The Attempt at a Solution

Fe=(8.99x10^9)(3.00x10^-6)(2.00x10^-6)/(.12^2)
Fe=3.75 N [Repulsive]

For some reason the above formula won't work to get the answer that it says, am I doing something wrong?

Answer should be 1.56x10^-1 N [Repulsive]

what happends when the 2 charges touch? Charge is transferred, therefore you have to find out the final charge on eache sphere before you can use the formula.

Oh yeah! Ok thanks I got it now!

## 1. How do you calculate electrostatic force between two metal spheres?

In order to calculate the electrostatic force between two metal spheres, you will need to use the equation F = (k * q1 * q2) / r^2, where k is the Coulomb's constant (8.99 * 10^9 N*m^2/C^2), q1 and q2 are the charges of the two spheres in Coulombs (C), and r is the distance between the two spheres in meters (m).

## 2. What is the charge of each metal sphere?

The charge of the first metal sphere is 3.00x10^-6C, and the charge of the second metal sphere is 2.00x10^-6C.

## 3. What is the distance between the two metal spheres?

The distance between the two metal spheres is 12.0cm, which is equivalent to 0.12m.

## 4. How do you convert 12.0cm to meters?

To convert 12.0cm to meters, you can use the conversion factor 1m = 100cm. This means that 12.0cm is equal to 0.12m.

## 5. What is the electrostatic force between the two metal spheres?

To calculate the electrostatic force, you will need to plug in the values of k, q1, q2, and r into the equation F = (k * q1 * q2) / r^2. Using the given values, the electrostatic force between the two metal spheres is 1.19 * 10^-3 N.

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