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A block of mass 2.0kg starts to slide from rest down a frictionless quarter circle track of radius 5.00m. At the base of the track there is a 10.0- meter rough patch with coefficient of kinetic friction of 0.24 and length of 7.50 meters. Following the rough patch, the block slides on a frictionless surface until it compresses a spring coming to rest as the spring is fully compressed a distance of 0.2m.

a. Find the speed of the block at the base of the circular ramp.

b. Find the work done by friction.

c. Find the spring constant k for the spring.

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