1. calculate the k static and its error 2. find the slope, min and max slopes an

Question

1. calculate the k static and its error
2. find the slope, min and max slopes and the error on the slope.

please do both questions.
thank you

Event Force 0.24 0. 10 4 8.3 0.56 0.631 0.37 0 0.69 0.7 0 6 9.3 3.2 10 Linear Fit for. Latest | Force Force mx+b m (Slope) -16 120.04618 Nm b (Y-Intercept): 15.47-0.02778 N Correlation: -1.000 RMSE: 0,03088 N You may start by zeroing the force sensor with the empty holder First put 1kg weight on the hoider and ensure that i Aiso, be sure that the initial distance to the weght hoider is 20 cm is vertically above the Motion detector when you start coliedrg·the Keep button (blue wheel) is adive, and when everything is to your satisfaction (more or less constant), press Keep. Your values are then registered. DO NOT STOP COLLECTING. Remove 100 g and repear the procedure Mass range 1 to D kg in steps of 100g Error bars are adusted to + 005N for force and 001m for position With Curve Ft, find the siope and emor You must also make this graph by hand and analyse t The result state k and its error enter your value for k and error k16.12 +-0.046 )N/nm 0.797 m 0.0 0.2 0.4 0.6 0.8 Position (m) Christopher Karpinski and Ahmad Issa Station 5 Fri spring constant (1) 2017-11-17 10:33:13 SC01

Explanation / Answer

Okay, Usually, we have some uncertainity in the position also but it is not given in the graph. For your understanding, I am giving you a way to find the minimum and maximum slope.

Now, from the given graph we can see that the slope k is given as

k = -16.12 +/- 0.04618 , Here +/- 0.04618 is the error (uncertainity ) in the k reading. The negative sign in front of k denotes a negative slope.

Now, if you want to find minimum slope, the method is

Slopemin = Fmin / xmax

Here, you can take any two points on the graph and find minimum F and max x for that point and divide them to find minimum slope.

Similarly, for maximum slope

Slopemax = Fmax / xmin   

After you have obtained minimum and maximum slope, use them to find uncertainity or error in slope

slope error = (Slopemax - Slopemin) / 2

Now considering the slope given by the graph, the max slope will be (-16.12 - 0.04618 = -16.16618) and minimum will be ( -16.12 + 0.04618 = -16.07382)

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