A 020-Kg Particle Moves Along the X Axis Under the Influence

question 16

Multiple Choice

A 0.20-kg particle moves along the x axis under the influence of a stationary object. The potential energy is given by U(x) = (8.0J/m²) x² + (2.0J/m⁴) x⁴,
Where x is in coordinate of the particle. If the particle has a speed of 5.0 m/s when it is at x = 1.0 m, its speed when it is at the origin is:

• A) 0
• B) 2.5 m/s
• C) 5.7 m/s
• D) 7.9 m/s
• E) 11 m/s

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Definitions:

Kant's Theory

A philosophical doctrine attributed to Immanuel Kant, emphasizing duty, moral law, and the categorical imperative as the foundations of ethical actions.

Duty

An obligation or responsibility to act in a certain way, often determined by moral or legal considerations.

Ethical Egoism

A moral philosophy arguing that individuals should act in their own self-interest and that this is the only moral duty.

Altruistic Explanations

Theories or reasons provided for actions taken for the benefit of others, often without personal gain and sometimes at a cost to oneself.