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A block of mass m=1 kg, 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
for 0.1 < x < 2.01m = 0, for x < 0.1m
-
%3D
and x > 2.01m
where k=0.5d.
what is the final kinetic energy and speed vf
of the black as it crosses this patch?

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