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:

Responsiveness of Quantity

The degree to which the quantity demanded or supplied responds to changes in price, income, or other factors.

Responsiveness of Price

The degree to which the demand or supply of a product changes in response to a change in price.

Consumer Surplus

The difference between what consumers are willing to pay for a good or service and what they actually pay, representing the extra satisfaction or utility gained.

Market Price

is the current price at which a product, security, or commodity can be bought or sold in a marketplace.