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1 (15 pts) A block of mass m 2.10 kg slides with an initial speed v 4.65 m/s on a frictionless, horizontal surface. The block now encounters a rough patch with a coefficient of kinetic fric- tion given by k-0.275. The rough patch extends for a distance d 1.20 m, after which the sur- face is again frictionless. (a) What is the acceleration of the block when it is in the rough patch? (b) What is the final speed vf of the block when it exits the rough patch?

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