In the diagram shown, the blocks are of the same mass M. A force F is applied on the lower block and both the blocks start moving together without any relative motion. Suddenly, the lower block hits a

Question

In the diagram shown, the blocks are of the same mass M. A force F is applied on the lower block and both the blocks start moving together without any relative motion. Suddenly, the lower block hits a fixed obstacle and comes to rest. The upper block continues to slide on the lower block. The upper block just manages to reach the opposite end of the lower block. The ground is smooth. What is the coefficient of friction between the two blocks?

TestHub · Accepted Answer

Work-energy till the obstacle: F × 1 = 2 1 ​ ( 2 M ) V 2 ⇒ V = M F ​ ​ (1 m displacement, see figure). After the lower block stops, friction brings the upper block to rest over the remaining 0.5 m: 2 μg V 2 ​ = 0.5 . μ = g V 2 ​ = M g F ​ - (A)

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