NEET Physics Work-Energy Theorem MCQ Question
A block of mass 2 kg is moving with an initial speed of 3 m/s on a horizontal surface. It encounters a rough patch where the retarding force F is inversely proportional to x, given by F = -k/x, with k = 1 J. The rough patch extends from x = 0.5 m to x = 2.5 m. What is the block's final speed after passing through the rough patch?
5 m/s
0 m/s
5 m/s
0 m/s
Correct Answer
Detailed Explanation
Using the work-energy theorem, the work done by the retarding force is calculated as W = ∫ (k/x) dx from x = 0.5 to x = 2.5, which alters the kinetic energy. This results in a reduction of speed from the initial 3 m/s to 1.5 m/s.
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