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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:

Variable Costing

An accounting method that only allocates variable costs to inventory, treating fixed costs as period expenses.

Contribution Margin

The amount by which the selling price of an item exceeds its variable costs, contributing towards covering fixed costs and generating profit.

Sales Personnel

Individuals in an organization responsible for selling products or services to customers, often including roles such as sales representatives, sales managers, and sales directors.

Sales Mix

The combination of different products or services that a company sells, affecting profitability depending on the margins of each item.

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