m1, ľ1 m2, r2 m3 Shown in the figure are two pulleys and a hanging mass connected by a lightweight string that does not slip relative to the pulleys. The pulleys can be treated as solid discs, with the left pulley having a mass of 1.2 kg and a radius of 0.1 meters and the right pulley having a mass of 2.4 kg and a radius of 0.9 meters. The hanging mass is 6 kg. The system is initial released from rest. Given that some time later the hanging mass has a speed of 2 m/s, calculate how far the hanging mass has moved from its initial position. Use 10 N/kg for g and enter your answer in units of meters rounding to two decimal places.
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