If We Double Only the Amplitude of a Vibrating Ideal

question 31

Multiple Choice

If we double only the amplitude of a vibrating ideal mass-and-spring system, the mechanical energy of the system

• A) increases by a factor of .
• B) increases by a factor of 2.
• C) increases by a factor of 3.
• D) increases by a factor of 4.
• E) does not change.

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Definitions:

John Stuart Mill

A British philosopher and economist known for his contributions to utilitarianism and political economy.

Utilitarian Justice

A concept in ethics focusing on the greatest good for the greatest number of people as the criterion of justice.

Rawlsian Justice

A theory of justice that emphasizes fairness as the most important aspect of an ethical society, often associated with the "veil of ignorance" thought experiment.

Risk Averse

A term describing individuals or entities that prefer to avoid risks, often opting for the option with the most predictable outcome.