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Predict \& Explain An electrically neutral object is given a negative charge. (a) In principle, does the object's mass increase, decrease, or stay the same as a result of being charged? (b) Choose the best explanation from among the following: A. To give an object a negative charge requires giving it more electrons, which will increase its mass. B. A positive charge increases an object's mass; a negative charge decreases its mass. C. Charge is conserved, and therefore the mass of the object will remain the same.

Short Answer

Expert verified
(a) The object's mass increases. (b) Correct explanation is A.

Step by step solution

01

Understand the Charge and Mass Relationship

When an object is given a negative charge, it means that electrons, which are negatively charged particles, have been added to the object. Electrons have a mass, although it is very small compared to the mass of most macroscopic objects.
02

Analyze the Impact of Adding Electrons

By adding more electrons to an object, we are indeed adding some mass because electrons have mass (approximately 9.11 x 10^-31 kg per electron). Therefore, the mass of the object must increase as electrons are added.
03

Evaluate Each Explanation Choice

- **Choice A** states "To give an object a negative charge requires giving it more electrons, which will increase its mass." This aligns with our analysis, as adding electrons increases the object's mass. - **Choice B** states "A positive charge increases an object's mass; a negative charge decreases its mass." This is incorrect because adding electrons (negative charge) actually adds mass. - **Choice C** states "Charge is conserved, and therefore the mass of the object will remain the same." This is misleading because the conservation of charge does not imply mass remains constant when electrons are added.
04

Select and Justify the Correct Explanation

The correct answer is Choice A. Adding electrons increases the negative charge and the mass of the object. Despite the small mass of electrons, their addition does increase the total mass.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Mass and Charge Relationship
When it comes to electric charge and mass, an intriguing relationship exists. Electrons, the tiny carriers of negative charge, play a crucial role here. When an object gains a negative charge, it means electrons are added to it. Each electron carries a negative charge and, importantly, also possesses a small mass.The mass of an electron is approximately \(9.11 \times 10^{-31}\) kg. While this mass is minuscule, adding numerous electrons nonetheless results in a measurable increase in mass. In practical terms, for everyday objects, this mass increase is very small and often negligible. However, theoretically, the object's mass does indeed increase due to the added electrons. An effective way to understand this concept is by thinking of electrons as small parcels that deliver both charge and a bit of extra weight.
Electrons
Electrons are fundamental subatomic particles with a negative charge. They are much smaller in mass compared to protons and neutrons found in the nucleus of an atom. Despite their smaller mass, electrons play a significant role in the behavior of atoms and matter.
  • Electrons are represented in electric charge interactions as the primary carriers of negative charge.
  • In electrical circuits, they are the moving charge carriers; current is essentially a flow of electrons.
  • Electrons are responsible for chemical bonds and electricity, influencing a vast range of physical and chemical processes.
Even though each electron has a tiny mass, collectively, they can affect the mass of an object. When an object accumulates additional electrons, its negative charge increases, and a slight increase in mass follows suit.
Conservation of Charge
The conservation of charge is a fundamental principle in physics. It states that the total electric charge in an isolated system remains constant over time. This means charges can be transferred from one object to another, but the overall charge remains unchanged. In the context of adding a negative charge to an object, additional electrons are introduced but the total number of charges in the world remains constant. The system's charge is only redistributed, not created or destroyed.
  • Conservation of charge ensures that when electrons are added to an object, an equivalent positive charge usually remains somewhere else.
  • For example, if an electron is removed from one area, it may be added to another to maintain this conservation.
  • This principle is vital for analyzing and understanding various electrical phenomena and processes.
In practice, while the conservation of charge holds, the mass of an object can indeed change due to the addition of mass-carrying electrons, highlighting the need to differentiate between charge conservation and mass considerations.

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Most popular questions from this chapter

The force between a point charge of \(+6.7 \mu \mathrm{C}\) and a charged sphere is \(3.4 \times 10^{-3} \mathrm{~N}\). If the surface area of the sphere is \(0.042 \mathrm{~m}^{2}\) and the separation between the center of the sphere and the point charge is \(0.27 \mathrm{~m}\), what is the surface charge density of the sphere?

Four point charges are located at the corners of a square with sides of length \(a\). Two of the charges are \(+q\), and two are \(-q\). Find the magnitude and the direction of the total electric force exerted on a charge \(+Q\) located at the center of the square, for each of the following two arrangements of charge: (a) The charges alternate in sign \((+q,-q,+q,-q)\) around the square; (b) The two positive charges are on the top corners of the square, and the two negative charges are on the bottom corners.

At what separation will the electric force between charges of \(2.1 \mu \mathrm{C}\) and \(5.0 \mu \mathrm{C}\) have a magnitude of \(0.25 \mathrm{~N} ?\)

Explain An object is acted on by more than one electric force. How do you determine the total electric force acting on the object?

An electron and a proton are released from rest in space, far from any other objects. The particles move toward each other, as a result of their mutual electrical attraction. (a) When they meet, is the kinetic energy of the electron greater than, less than, or equal to the kinetic energy of the proton? (b) Choose the best explanation from among the following: A. The proton has the greater mass. Since kinetic energy is proportional to mass, it follows that the proton will have the greater kinetic energy. B. The two particles experience the same force, but the light electron moves farther than the massive proton. Therefore, the work done on the electron, and hence its kinetic energy, is greater. C. The same force acts on the two particles. Therefore, they will have the same kinetic energy, and energy will be conserved.

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