A Mass M = 2

question 54

Multiple Choice

A mass m = 2.5 kg is sliding along a frictionless table with initial speed v as shown in the figure. It strikes a coiled spring that has a force constant k = 500 N/m and compresses it a distance x₂ - x₁ = -5.0 cm. The initial speed v of the block was

• A) 0.71 m/s
• B) 1.0 m/s
• C) 1.4 m/s
• D) 0.50 m/s
• E) 1.7 m/s

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Definitions:

Payoff Matrix

A table that illustrates the outcomes (or payoffs) of different strategies or decisions made by players in a strategic or game-theoretic context.

Decision Nodes

Points in a decision process at which choices among alternative actions must be made.

Terminal Nodes

Terminal nodes are the final points in a decision tree where a decision is made or an outcome is reached.

Subgame Perfect Nash Equilibrium

A refinement of Nash Equilibrium used in dynamic games, ensuring that strategies form a Nash equilibrium in every subgame.