The Potential Energy of a Particle Moving Along the X

question 13

Multiple Choice

The potential energy of a particle moving along the x axis is given by U(x) = (8.0 J/m²) x² + (2.0 J/m⁴) x⁴.
If the total mechanical energy is 9.0 J, the limits of motion are:

• A)-0.96 m; +0.96 m
• B)-2.2 m; +2.2 m
• C)-1.6 m; +1.6 m
• D)-0.96 m; +2.2 m
• E)-0.96 m; +1.6 m

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Definitions:

Value

The importance, worth, or usefulness of something, often determined by its desirability and utility.

Up

A direction or trend indicative of progress, increase, or improvement.

Opposite Directions

Opposite directions refer to the scenario where two or more entities move or act in contrasting pathways or alignments, leading to distinct or divergent outcomes.

Negative

Refers to something that is less than zero, opposite in direction, or detrimental in effect.