Physics Which of the following characterizes a conservative interaction?   i) An interaction that can be described with a constant force.   ii) An interaction that can be described with a position-dependent force.   iii) An interaction whose work done does not depend on position.   iv) An interaction whose work done can be written as an integral.   Why?

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter2: Newtonian Mechanics-single Particle
Section: Chapter Questions
Problem 2.9P: Consider a projectile fired vertically in a constant gravitauonal field. For the same initial...
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Physics

Which of the following characterizes a conservative interaction?

 

i) An interaction that can be described with a constant force.

 

ii) An interaction that can be described with a position-dependent force.

 

iii) An interaction whose work done does not depend on position.

 

iv) An interaction whose work done can be written as an integral.

 

Why?

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