A block of mass m=1 kg, moving on a horizontal surface 3D1 with speed v = 2ms-1 enters a rough patch ranging from x=0.10mto 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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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?
Transcribed Image Text: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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