Calculate the repulsive force on each proton in a helium...

Calculate the repulsive force on each proton in a helium nucleus separated in a vacuum by a distance of 2.50 fm . (Use $\mathrm{k}=9 \times 10^9 \mathrm{Nm}^2 \mathrm{C}^{-2} ; 1 \mathrm{fm}=1 \times 10^{-15} \mathrm{~m}$; and $q_p=+1.602 \times 10^{-19} \mathrm{C}$.)

Key Concepts

Fundamental Charge

The fundamental charge refers to the elementary charge carried by protons and electrons, serving as the basic unit of electric charge in nature. Understanding the value and significance of the fundamental charge is important when applying Coulomb's law to calculate the forces between charged particles, as it directly influences the magnitude of the electrostatic interaction.

Coulomb's Law

Coulomb's law is a fundamental principle in electromagnetism that quantifies the force between two charged particles. It states that the electrostatic force between two point charges is directly proportional to the product of the magnitudes of the charges and inversely proportional to the square of the distance separating them. This principle is essential when calculating forces in systems where electric charges interact over a distance.

Electrostatic Force

The electrostatic force is the force exerted between charged particles due to their electric charge. This force can be either attractive or repulsive depending on the nature of the charges involved. In cases where like charges are present, such as two protons, the force is repulsive, and calculating this force is critical for understanding interactions in atomic and nuclear systems.

Unit Conversion

Unit conversion is an essential concept in physics that ensures consistent and accurate calculations. In problems involving atomic or nuclear scales, distances are often given in femtometers (fm), which need to be converted into meters (m) to align with the standard SI units used in formulas like Coulomb's law. Proper unit conversion is crucial for obtaining correct numerical results.

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