NEET Physics Work-Energy Theorem MCQ Question
A block of mass 1 kg is moving with an initial speed of 2 m/s on a horizontal surface. It encounters a rough patch where the retarding force is inversely proportional to the position x between x = 0.10 m and x = 2.01 m. If the retarding force is given by F_r = -k/x with k = 0.5 J, what is the final kinetic energy of the block when it leaves the patch?
5 J
0 J
0.5 J
0 J
Correct Answer
Detailed Explanation
The work-energy theorem states that the change in kinetic energy is equal to the work done by the force. Integrating F_r = -k/x over the given range gives the change in kinetic energy, leading to a final kinetic energy of 0.5 J.
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