A block of mass m=1kg, moving …

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A block of mass m=1kg, moving on a horizontal surface with speed v=2ms^1 enters a rough patch ranging from x=0.10m to x=2.01m . The retarding force F on the block in this range is inversely proportional to x over this range,
F=-K/X for 0.1smaller than x and greater than 2.01m
Where k=0.5J. what is the final kinatic energy and speed v of the block as it crosses this patch?
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