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Force and Potential Energy: When a Particle Is a Distance

question 64

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Force and potential energy: 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 = Force and potential energy: 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). (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:

Equilibrium Quantity

The amount of products or services available and sought after at the market's balance price.

Equilibrium Quantity

The quantity of goods or services supplied and demanded at the equilibrium price, where supply equals demand.

Excess Demand

A scenario in which the demand for a product or service surpasses the supply available at the existing price.

Surplus

An excess of production or supply over demand.

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