Calculate final ke and speed of the ball


A block of mass 0.2kg is moving with a speed of 5m/s on a horizontal surface enters a rough patch ranging from x=0.1m to x=2.01m. The retarding force Fy, on the block in this range is inversely proportional to x over this range,

Fr = -k/x for 0.1 < x < 2.01 m = 0 for x < 0.1 and x> 2.01m

where k=0.5J. What is the final KE and speed of the ball as it crosses tha path ?

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Physics: Calculate final ke and speed of the ball
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