PHY 107 1st Edition Lecture 13 Outline of Last Lecture I. Kinetic EnergyII. WorkOutline of Current LectureIII. Work (cont.)Current LectureWork:Work done by a variable force F(x) acting along the x-axis:- The area under the curve between the F(x) curve and the x-axis between xi and xf - W = ∫xixfF(x)dxSpring force: - When a spring is stretched or compressed by length d, the spring resists by exerting force F in the opposite direction - F = -kx (x is the distance that the spring is extended or compressed, k is the spring constant) Work done by spring force:- The springs length changed from xi to xf - Work done by spring = WsThese notes represent a detailed interpretation of the professor’s lecture. GradeBuddy is best used as a supplement to your own notes, not as a substitute.o Ws = ∫xixfF(x)dx = ∫xixf−kxdx = −k∫xixfxdx o Ws = -k[x22]xixf = kxi22 - kxf22 o Spring usually starts at xi = 0, so Ws =
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