# AnswerSolving Electrostatic Force: Find Charge & Mass

• nic4birds
In summary, the electrostatic force between two charged particles can be calculated using the equation F=kq1q2/r^2, where k is the Coulomb's constant, q1 and q2 are the charges of the particles, and r is the distance between them. In the first problem, the force can be found by first calculating the net charge on each sphere, which is 6.2 x 1013 electrons, and then plugging it into the equation. In the second problem, the charge on each particle can be found by using the acceleration and mass values and solving for q in the equation F=ma=qE. Once the charge is known, the mass of particle 2 can be found using its acceleration and
nic4birds
electrostatic force?

## Homework Statement

Two very small spheres are initially neutral and separated by a distance of 0.50 m. Suppose that 6.2 x 1013 electrons are removed from one sphere and placed on the other. What is the magnitude of the electrostatic force that acts on each sphere?,

## Homework Equations

Each electron carries an amount of charge with magnitude e=1.6*10^-19

## Homework Statement

Q2. Two particles, with identical positive charges and a separation of 3.80 x 10-2 m, are released from rest. Immediately after the release, particle 1 has an acceleration a1 whose magnitude is 6.71 x 103 m/s2, while particle 2 has an acceleration a2 whose magnitude is 9.64 x 103 m/s2. Particle 1 has a mass of 7.46 x 10-6 kg. Find (a) the charge on each particle and (b) the mass of particle 2.

## Homework Equations

F=kq1q2/r^2

Where are your attempts at the solution for both of these problems?

a1=q1/m1
a2=q2/m2
F=ma

The electrostatic force between two charged particles is given by Coulomb's Law: F = kq1q2/r^2, where k is the Coulomb constant, q1 and q2 are the charges on the particles, and r is the distance between them.

For the first problem, we can use Coulomb's Law to calculate the electrostatic force between the two spheres. Since one sphere has gained 6.2 x 1013 electrons, it now has a net charge of -6.2 x 1013e. The other sphere has lost 6.2 x 1013 electrons, giving it a net charge of +6.2 x 1013e. Plugging these values into the equation, we get:

F = (9 x 109 N·m2/C2)(-6.2 x 1013e)(6.2 x 1013e)/(0.5m)2
= -1.84 x 10-6 N

Since the electrostatic force is a vector quantity, it acts in the opposite direction on each sphere. Therefore, the magnitude of the force acting on each sphere is 1.84 x 10-6 N.

For the second problem, we can use the given acceleration values and equations for electrostatic force and acceleration to find the charge and mass of each particle. First, we set up a system of equations:

F = kq1q2/r^2
a1 = q1/m1
a2 = q2/m2

We can rearrange the first equation to solve for q1:

q1 = (Fm1r^2)/(kq2)

Then, we substitute this into the second equation to solve for q2:

a2 = (Fm1r^2)/(kq2m1)

Finally, we substitute the given values and solve for q2:

q2 = (Fm1r^2)/(a2m1k)
= [(9 x 109 N·m2/C2)(7.46 x 10-6 kg)(3.8 x 10-2 m)2]/(9.64 x 103 m/s2)(7.46 x 10-6 kg)(9 x 109 N·m2/C2)
= 1.44 x 10-19

## 1. How do I calculate the electrostatic force between two charged objects?

To calculate the electrostatic force between two charged objects, you can use Coulomb's law which states that the force is equal to the product of the two charges divided by the distance between them squared. This can be written as F = k(q1q2)/r^2, where k is the Coulomb's constant (9x10^9 Nm^2/C^2), q1 and q2 are the charges of the objects, and r is the distance between them.

## 2. How do I find the charge of an object using electrostatic force?

You can find the charge of an object by using Coulomb's law and rearranging the equation to solve for q. This would be q = Fr^2/kq2, where F is the electrostatic force between the two objects, r is the distance between them, and k is the Coulomb's constant. However, if the object is in an electric field, you can also use the equation F = Eq, where E is the electric field strength and q is the charge of the object.

## 3. How do I find the mass of an object using electrostatic force?

To find the mass of an object using electrostatic force, you would need to know the charge of the object and the electric field strength. Then, you can use the equation F = Eq and rearrange it to solve for q. Once you have the charge, you can use the mass-to-charge ratio (m/q) of the object to find its mass. This ratio can be found experimentally or through other methods depending on the object.

## 4. Can electrostatic force affect the motion of an object?

Yes, electrostatic force can affect the motion of an object. If the object has a charge, it will experience a force in the presence of an electric field. This force can cause the object to accelerate or change direction, depending on the direction of the field and the charge of the object. Additionally, if two charged objects are in close proximity, they may experience a repulsive or attractive force that can affect their motion.

## 5. Are there any real-life applications of electrostatic force calculations?

Yes, there are many real-life applications of electrostatic force calculations. For example, it is used in designing electronic devices such as smartphones and computers, in the study of atoms and molecules, and in medical imaging techniques like MRI. It is also used in industries such as manufacturing, printing, and painting. Understanding electrostatic force is crucial in many fields of science and technology.

• Introductory Physics Homework Help
Replies
4
Views
1K
• Introductory Physics Homework Help
Replies
14
Views
2K
• Introductory Physics Homework Help
Replies
3
Views
2K
• Introductory Physics Homework Help
Replies
8
Views
1K
• Introductory Physics Homework Help
Replies
26
Views
3K
• Introductory Physics Homework Help
Replies
18
Views
3K
• Introductory Physics Homework Help
Replies
1
Views
1K
• Introductory Physics Homework Help
Replies
4
Views
1K
• Introductory Physics Homework Help
Replies
2
Views
2K
• Introductory Physics Homework Help
Replies
2
Views
1K