When a Particle Is a Distance R from the Origin

question 52

Essay

When a particle is a distance r from the origin, its potential energy function is given by the equation U(r) = kr, where k is a constant and r = (a) What are the SI units of k?
(b) Find a mathematical expression in terms of x, y, and z for the y component of the force on the particle.
(c) If U = 3.00 J when the particle is 2.00 m from the origin, find the numerical value of the y component of the force on this particle when it is at the point (-1.00 m, 2.00 m, 3.00 m).

---

Definitions:

Modern Political State

An organized community living under a government, recognized from a legal standpoint with sovereignty and structure to regulate a defined territory and population.

Family-held Power

Refers to the influence and authority maintained by a family unit or lineage, often seen in business, politics, or social structures.

North Americans

Individuals living in or originating from North America, typically referring to people from Canada, the United States, and Mexico.

Friends

Individuals with whom one shares a bond of mutual affection, typically exclusive of sexual or family relations.