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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).

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(a) kg ∙ m/s2 (or J/m...

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