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Block a of Mass 5

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Block A of mass 5.0 kg and block X are attached to a rope which passes over a pulley,as shown in the figure.An 80-N force P is applied horizontally to block A,keeping it in contact with a rough vertical face.The coefficients of static and kinetic friction between the wall and block A are μs = 0.40 and μk = 0.30.The pulley is light and frictionless.The mass of block X is adjusted until block A moves upward with an acceleration of 1.6 m/s2.What is the mass of block X? Block A of mass 5.0 kg and block X are attached to a rope which passes over a pulley,as shown in the figure.An 80-N force P is applied horizontally to block A,keeping it in contact with a rough vertical face.The coefficients of static and kinetic friction between the wall and block A are μ<sub>s</sub> = 0.40 and μ<sub>k</sub> = 0.30.The pulley is light and frictionless.The mass of block X is adjusted until block A moves upward with an acceleration of 1.6 m/s<sup>2</sup>.What is the mass of block X?   A)  9.9 kg B)  9.3 kg C)  8.7 kg D)  8.1 kg E)  7.5 kg

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Definitions:

Nash Equilibrium

A concept in game theory where no player can gain by unilaterally changing their strategy if the strategies of others remain unchanged.

Pure Strategy

In game theory, a strategy where a player consistently chooses a specific action.

Mixed Strategy Equilibrium

in game theory, is a situation where players in a game choose a mixture of strategies probabilistically.

Probabilities

A measurement of the likelihood or chance of a specific outcome or event occurring.

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