An alpha particle (charge =+2.0 e ) is sent at high speed...

An alpha particle (charge $=+2.0 e$ ) is sent at high speed toward a gold nucleus (charge $=+79 e$ ). What is the clectric force acting on the alpha particle when the alpha particle is $2.0 \times 10^{-14} \mathrm{m}$ from the gold nucleus? (See Sample Problem 17A.)

Key Concepts

Electrostatic Force

The electrostatic force is the force experienced by charged objects due to their electric charges. It is governed by Coulomb's Law and can be either attractive or repulsive depending on the nature of the charges involved. This concept is critical in many areas, including atomic structure, material interactions, and various applications in technology such as in the design of particle accelerators.

Coulomb's Law

Coulomb's Law is a fundamental principle in electrostatics that quantifies the force between two point charges. It states that the magnitude of the electric force is directly proportional to the product of the magnitudes of the charges and inversely proportional to the square of the distance between them. This law provides the mathematical framework to calculate the electrostatic force acting on charged particles, which is essential in understanding interactions at the atomic and subatomic levels.

Electric Charge

Electric charge is an intrinsic property of matter that determines how particles interact electromagnetically. Charges can be positive or negative, and the interaction between these charges leads to forces of attraction or repulsion. Understanding electric charge is key to analyzing the behavior of particles in electric fields and is a cornerstone concept in both classical and modern physics.

Inverse Square Law

The inverse square law is a principle stating that a specified physical quantity, such as the electrostatic force, decreases in proportion to the square of the distance from its source. In the context of Coulomb's Law, as the separation between two charged particles increases, the force between them diminishes rapidly, which is vital for understanding the spatial behavior of forces in an electric field.

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