Energy Conservation with Conservative Forces: a Box of Mass M

question 6

Multiple Choice

Energy conservation with conservative forces: A box of mass m is pressed against (but is not attached to) an ideal spring of force constant k and negligible mass, compressing the spring a distance x. After it is released, the box slides up a frictionless incline as shown in the figure and eventually stops. If we repeat this experiment but instead compress the spring a distance of 2x

• A) the box will go up the incline twice as high as before.
• B) just as it moves free of the spring, the box will be traveling twice as fast as before.
• C) just as it moves free of the spring, the box will be traveling four times as fast as before.
• D) just as it moves free of the spring, the box will have twice as much kinetic energy as before.
• E) just before it is released, the box has twice as much elastic potential energy as before.

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Definitions:

Regression Analysis

A statistical method for modeling the relationship between a dependent variable and one or more independent variables, used to predict outcomes and trends.

Independent Variables

Variables in an experiment or statistical model that are manipulated or categorized to observe their effect on the dependent variable.

Dependent Variable

A variable in an experiment or model whose value is affected or determined by other variables, typically the outcome or response variable.

Y-intercept

The point where a line or curve intersects the y-axis of a graph.