Chapter 7, Problem 77GP

& Two blocks of masses $m_1\text{**\#x00A0;and }{m}_2$ are connected with a string that passes over a very light pulley (see Figure P7.77). Friction in the pulley can be ignored. Block 1 is resting on a rough table and block 2 is hanging over the edge. The coefficient of friction between the block 1 and the table is $\mu$ (assume static and kinetic friction have the same value). Block 1 is also connected to a spring with a constant k. In the initial state, the spring is relaxed as a person is holding block 2, but the string is still taut. When block 2 is released, it moves down for a distance d until it stops (the final state). (a) Explain why block 2 eventually stops moving. (b) Choose a system and represent the process with a work-energy bar chart. (c) Derive the expression for distance d in terms of $m_1,m_2,\mu$, and k, and evaluate the expression using extreme case analysis and unit analysis.