A block of mass m = 1 kg moving on a horizontal surface with speed vi = 2 ms–1 enters a rough patch ranging from x = 0.10 m to x = 2.01 m. The retarding force Fron the block in this range is inversely proportional to x over this range
for 0.1 < x < 2.01 m
= 0 for x < 0.1 m and x > 2.01 m
where k = 0.5 J. What is the final K.E. and speed vfof the block as it crosses the patch?