A Particle Is in Simple Harmonic Motion Along the X

question 46

Multiple Choice

A particle is in simple harmonic motion along the x axis. The amplitude of the motion is x_m. When it is at x = x₁, its kinetic energy is K = 5J and its potential energy (measured with U = 0 at x = 0) is U = 3J. When it is at x = -1/2x_m, the kinetic and potential energies are:

• A) K = 5J and U = 3J
• B) K = 5J and U = -3J
• C) K = 8J and U = 0
• D) K = 0 and U = 8J
• E) K = 0 and U = -8J

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Definitions:

Egocentrism

The inability to differentiate between one's own perspective and someone else's perspective.

Three-Mountain Task

A cognitive test developed by Jean Piaget to measure egocentrism in children, involving the ability to see a set of mountains from different viewpoints.

Concrete Operational

The concrete operational stage is a phase in Piaget's theory of cognitive development, where children gain a better understanding of logical operations and are able to apply them to concrete situations but struggle with abstract concepts.

Reflexive Abstraction

A cognitive process described by Piaget, involving reflection on and restructuring of knowledge gained from direct experience.