In the system shown below, the block 𝑀 (mass 5.65 kg) is pushed so that it is initially moving to the left with a speed of 𝑣0=1.38 m/s.

The hanging weight 𝑚 has a mass of 2.86 kg and the coefficients of friction are 𝜇𝑠=0.411 and 𝜇𝑘=0.304. The string and the pulley have negligible mass. How fast will 𝑀 be traveling when 𝑚 has fallen through a height ℎ=0.47 meters?

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