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:

Malthusian Trap

A situation where population growth outpaces agricultural production, leading to periodic famine, poverty, and population decline as described by Thomas Malthus.

Suburbanism

The lifestyle and culture associated with living in suburban areas, often characterized by single-family homes, community-oriented activities, and commuter patterns.

Rural City

A small city or town located in a countryside area, often characterized by lesser population density and more agricultural activities.

Urban City

A densely populated area characterized by significant infrastructural development and a high concentration of buildings and services.