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An Atwood's machine consists of masses m1 and m2, and a pulley of negligible mass and friction. Starting from rest, the speed of the two masses is 3.80 m/s at the end of 3.16 s. At that time, the kinetic energy of the system is 77.0 J and each mass has moved a distance of 6.00 m. Determine the lighter mass.

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