Use Coulomb's law, F=k Q1 Q2 / d^2, to calculate the...

Use Coulomb's law, $F=k Q_{1} Q_{2} / d^{2},$ to calculate the electric force on an electron $\left(Q=-1.6 \times 10^{-19} \mathrm{C}\right)$ exerted by a single proton if the particles are $0.53 \times 10^{-10} \mathrm{~m}$ apart. The constant $k$ in Coulomb's law is $9.0 \times 10^{9} \mathrm{~N} \cdot \mathrm{m}^{2} / \mathrm{C}^{2}$. (The unit abbreviated $\mathrm{N}$ is the newton, the SI unit of force.)

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Key Concepts

Electric Force

The electric force is the interaction force between charged objects. Its magnitude and direction depend on the values of the charges and the distance between them, which are interrelated through Coulomb's Law.

Coulomb's Constant

Coulomb's constant is a numerical factor that appears in Coulomb's Law, representing the strength of the electrostatic force in a given unit system. It allows the conversion of the product of charges and the inverse square of the distance into the appropriate units of force.

Coulomb's Law

Coulomb's Law quantifies the electric force between two point charges. It establishes that the magnitude of the force is directly proportional to the product of the charges and inversely proportional to the square of the distance between them, with Coulomb's constant serving as the proportionality factor.

Electric Charges

Electric charges are intrinsic properties of particles that give rise to electric forces. They can be positive or negative, and interactions between these charges lead to attractive or repulsive forces, forming the foundation of electrostatic phenomena.

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