Damped Harmonic Motion: an Ideal Massless Spring with a Spring

question 23

Multiple Choice

Damped harmonic motion: An ideal massless spring with a spring constant of 2.00 N/m is attached to an object of 75.0 g. The system has a small amount of damping. If the amplitude of the oscillations decreases from 10.0 mm to 5.00 mm in 15.0 s, what is the magnitude of the damping constant b?

• A) 0.00693 kg/s
• B) 0.0462 kg/s
• C) 0.00762 kg/s
• D) 0.0100 kg/s
• E) 0.00857 kg/s

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Definitions:

Linear Regression Equation

A formula to determine the line of best fit in a dataset, depicting how the dependent variable is influenced by one or more independent variables.

Slope

A measure of the steepness or incline of a line, typically represented as the ratio of the rise over the run between two points on a graph.

Y-intercept

The Y-intercept of a linear equation is the point where the line crosses the Y-axis on a graph, representing the value of the dependent variable when the independent variable is zero.

Correlation

A statistical measure that expresses the extent to which two variables change together, indicating the strength and direction of their relationship.