Pathfinder Impulse & Momentum BYU 37

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A uniform thread of linear mass density lambda = 2.0 g/m passes through a fixed ideal pulley. At its ends, the thread is stacked into two heaps that do not interfere motion of the thread. A beetle of mass m = 80 g tries to manage itself at a constant height on the thread by adjusting its speed relative to the thread. At some steady speed of the thread, the beetle succeeds in doing so. Find this steady speed of the thread. Acceleration due to gravity is g = 10 m/s^2.

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