Question

FI= \kAl 1. Where k is the spring constant and Al is the change in the length of the spring. This relationship is called Hooke's Law. In your class vou will discuss this in more detail and include direction, and any appropriate offset or discussion of relaxed or equilibrium position. we find the spring constant by applying a force and measuring how far the spring stretches from an initial position. Consider a spring with length of 20.0 cm. If 4.40 N force is added to the spring, it stretches to a new length of 33.5 cm, what is the spring constant (with 93.5 ao,0 Experimentally 4/40N 35m correct units)? 3.l0 N/m k= 13.5 CM= 135 Not all materials behave like an ideal spring, which means the spring constant changes as the material stretches. Certainly a slinky that has been overstretched will not return to its original length (it has been permanently deformed in a hideous manner). Likewise a rubber band that is overştretched will eventually break. An electron pushed too hard by the electric field in a beam of light may break free of the nucleus. However, if we push gently, and do not approach the breaking point for such systems then any bound system acts in a manner consistent with Hooke's law. You may use several sample data points given below to generate an excel spreadsheet and plot, using the linest tool to analyze the data. The linest tool determines the slope and also an uncertainty in the slope for you, The basis of uncertainty here has to do with how spread your data is about a "best line". out KSlo-0Nm 0.Lom 5.7ON Av Al (m) F (N) 0,10 m 0.0 0.0 2 0.05 1.76N 0.15 5.40N 4 0.45 15.90 https://www.youtube.com/watch?ve6wbcPbYba6M Use the video at the link above (and posted with lab handouts) to performa least squares fit on the data given above. You will need to hand in your plot along with results for the spring constant and the uncertainty in the spring constant. k- Consider that you are given two springs just like the one you mecasured above. Place the two springs in series (lined up together). Treat that as a single spring. Do you think the spring constant for this new longer spring will beLarger) Smaller, The Same. Think about it, but pick circle one of the answers here.

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here is the graph that I just created for #2

Answer 1

- When two springs are connected in series then their effective spring constant is given by, - 1 tl herek = K2 K36.no Keffective « The so, Keffective = k = 36 = 18 N/m (SMALLER - Answer friction When start pushing folchon es towards left but at the moment it will start to move, at that moment x = o(related spring). U Sh = = = IN - CLW 4. put value of land mi No Answer When it starts accelerating (moving) then kinetic friction acts on the object, so in order to determine acceleration we need kinetic coefficient of friction. ) Auner & No

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