A block of mass m = 1 kg moving on a horizontal surface with speed u = 2 ms -1 enters a rough horizontal patch ranging from x = 0.10 m to x = 2. 00 m. If the retarding force f r on the block in this range is inversely proportional to x over this range i.e.
f r = 
for 0.10< x < 2 .00
f r = 0 for x < 0.10 and x > 2.00
If k = 0. 5 J then, the speed of this block (in m s -1 ) as it crosses the patch is (use ln20 = 3)
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