A Box of Mass M Is Pressed Against (But Is

question 28

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 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:

Short-run Data

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A business operating in a market where it has little to no influence on the prices of its products due to the presence of numerous competitors.

Total Profit Curve

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Competitive Firm

A business that operates in a market where it must set prices competitively, influenced by supply and demand, without having significant market power.