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Acceleration is a measure of how quickly the velocity of an object changes with time. It occurs whenever there is a change in speed or direction. In the case of linear motion, acceleration is calculated by dividing the change in velocity by the time over which the change occurs. When you know the acceleration of an object, it can tell you how fast that object will speed up or slow down when acted upon by a force.
For the exercise at hand, the given acceleration of the electron is extremely high, approximately \[ 3.40 \times 10^9 \, \text{m/s}^2 \]. This means that the electron's velocity is increasing incredibly fast in a very short span of time. Understanding this large value is crucial when considering the forces required to produce such acceleration, which ties directly into the concepts of electric fields and forces.
In context, the acceleration direction—as eastward—helps in determining how the electric field interacts with the electron, an aspect crucial for solving the original problem.

The electron is a subatomic particle with a fundamental negative electric charge of \(- 1.60 \times 10^{-19} \, \text{C} \). Electrons are significantly lighter than protons and neutrons, with a mass of roughly \(9.11 \times 10^{-31} \, \text{kg} \). These tiny particles are crucial in electricity, electronics, and many other physical phenomena.
In electrical contexts, understanding the role of electrons is vital since they carry electric current in most materials. They respond to electric fields, which can cause them to accelerate or change direction, depending on the field's properties.
In the exercise problem, the electron acts as the charged particle affected by the electric field, which provides both a real-world application of the discussed theory and insight into how electric fields can be used to manipulate these particles.

Newton's Second Law of Motion is a fundamental principle that connects the net force acting on an object to its mass and the resulting acceleration: \[ F = ma \]. This law forms the foundation for analyzing motion, where:

• \( F \) is the net force in newtons (N),
• \( m \) is the mass of the object in kilograms (kg),
• \( a \) is the acceleration in meters per second squared (m/s²).

In this context, when dealing with charged particles, the force can also be related to the electric field and charge: \[ F = qE \], where:

• \( q \) is the charge of the particle in coulombs (C),
• \( E \) is the electric field strength in newtons per coulomb (N/C).

For an electron in an electric field, the Second Law helps to determine the electric field's magnitude necessary to produce the given acceleration. It links the fundamental interactions between forces, motion, and fields.

Electric charge is a property that causes subatomic particles such as electrons and protons to experience a force when placed in an electric field. Charges can be positive or negative, and like charges repel each other while opposite charges attract.
The SI unit of electric charge is the coulomb (C). An electron has a negative charge of \(- 1.60 \times 10^{-19} \, \text{C} \), which is equal in magnitude but opposite in sign to the charge of a proton.
Understanding electric charge is essential for explaining how electric fields interact with matter. In the original exercise, the negative charge of the electron determines the direction of the force it experiences in an electric field. This influences the direction of acceleration when a charged particle is subjected to a field, thereby affecting the calculations involving electric fields and forces.