A Box of Mass M Is Pressed Against (But Is

question 48

Multiple Choice

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 with a box of mass 2m

• A) the lighter box will go twice as high up the incline as the heavier box.
• B) just as it moves free of the spring, the lighter box will be moving twice as fast as the heavier box.
• C) both boxes will have the same speed just as they move free of the spring.
• D) both boxes will reach the same maximum height on the incline.
• E) just as it moves free of the spring, the heavier box will have twice as much kinetic energy as the lighter box.

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Definitions:

Nash Equilibrium

Nash Equilibrium is a concept in game theory where each player's strategy is optimal given the strategies of all other players, leading to a situation where no player can benefit by changing strategies unilaterally.

Profit-Maximizing

A strategy or process by which a firm adjusts its production and pricing to achieve the highest profit possible.

Collude

To come to a secret understanding for a harmful purpose; often refers to competitors agreeing on prices or market shares to gain an advantage.

Annual Fixed Cost

Regular expenses incurred by a business or individual that do not vary with production level or output within a year.