Question

I) Spring, work with variable force: An applied force along the x-axis compresses a spring with stiffness constant 8000 N/m. a) Accurately graph the applied force F b) c) vs. x for this spring, with values from x = 0 to 0.50 m on the x-axis. By calculating areas directly from the graph, determine the work done by the applied force in compressing the spring from (i) 0 to 0.25 m. and from (ii) 0.25 m to 0.50 m. Do these same two calculations, but use integration of a function, with the given limits.
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F vs x 0.1 0.2 0.3 0.4 0.5 1000 -2000 3000 40002 (‘.so-o) x (-um-o) (-m.z s-。)/(-soro) 00) x , _ 2. -o20 lex 0-25 Boro < 0.0625 250丁 0So 0- SD 6.2S 「O-25-08625 -7 丁

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