NEET Physics Work-Energy Theorem MCQ Question
A block of mass 1 kg is moving on a horizontal surface with an initial speed of 2 m/s. It enters a rough patch where the retarding force is inversely proportional to x, with k = 0.5 J. If the rough patch extends from x = 0.10 m to x = 2.01 m, what is the final speed of the block as it exits the patch?
5 m/s
8 m/s
2 m/s
0.8 m/s
Correct Answer
Detailed Explanation
Using the work-energy theorem, the work done by the retarding force is the integral of F(x) over the displacement. This work changes the kinetic energy, and thus affects the final speed of the block. Calculating this yields a final speed of 0.8 m/s.
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