I need help with part Bplease :) ProblemIn a prototype of a BMMD, six different springs are available for testing with the device. The sixsprings are very similar, but with different restoring constant k.A student decides to test the device with all springs to estimate the value of his body mass.Thus, he measured 4 oscillation periods for each spring and calculated the average of theperiods to obtain six pairs of data (k,T), as shown in Table 1 and Figure 1.Table 1. Results of the average oscillation period for each spring of known constant in a BMMD.Spring constant k ± 0,001 kg/s²Oscillation period T ± 0,001 s455,0002,684480,0002,613515,0002,522590,0002,357712,0002,145900,0001,955Answer the following questions based on the information provided and the operatingfundamentals of the BMMD.A. Plot T as a function of k. Justify why it is not a linear relationship and explain why it has adecreasing or increasing trend.Figure 1Graph of Period of oscillation (T) as a function of spring constant (k).Period of oscillation (T) as a function of spring constant (k)2,7002,6842,6132,6002,5222,5002,4002,3572,3002,2002,1002,0001,900Period of oscillation (T)455,000480,000515,000Spring constant (k)530,0002,145712,0001,955900,000 The displayed graph shows that there is a decreasing trend in the period as the springconstant increases. It should be remembered that these results are the product of tests on thesame object, i.e. the same mass. This is because the spring constant k represents the easewith which the spring can be elongated. In other words, according to Sears et al. (2018), inSimple Harmonic Motion, the restoring force Fx is directly proportional to the displacement xgenerated by the mass with respect to equilibrium. Thus, the constant of proportionalitybetween Fx and x is the force constant k, which will have opposite signs, as this represents thedesire of the spring to return to its equilibrium state.This is defined by Hooke's law, described by the formulaF =kxNow, in simple harmonic motion the period T can be defined asmT = 2π₁1=2 TT-√ √kwhere the mass will exert a force on the spring, which will determine the maximumdisplacement that this will have according to its constant k. As k is dividing inside the root, itimplies that the greater its value, the less displacement it will allow in the spring, causing theperiod to be smaller, since the period is the time in which a cycle is completed. The greater theforce of restitution with which the spring acts, the faster it will return to the point of equilibrium,and the further it moves away from it, the faster it will return, passing through the point ofequilibrium at a higher speed and completing the cycle in less time.B. Sometimes it is necessary to reduce the relationship between two variables to a linearrelationship of the form y=mx+b, to do this, first, compute the first column as the reciprocal of kand the second column as T². Make a scatter plot of the result (do not forget to place title, labelingof axes and their respective units) and find the equation for the resulting linear function by makinga linear fit. Write down the value of the slope and the intercept by placing the respective units thatboth have.

Name: I need help with part Bplease :) ProblemIn a prototype of a BMMD, six
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Description: I need help with part Bplease :) ProblemIn a prototype of a BMMD, six different springs are available for testing with the device. The sixsprings are very similar, but with different restoring constant k.A student decides to test the device with all

Given values in the table: Given equation of period: T=2πmk

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In a prototype of a BMMD, six different springs are available for testing with the device. The six springs are very similar, but with different restoring constant k. A student decides to test the device with all springs to estimate the value of his body mass. Thus, he measured 4 oscillation periods for each spring and calculated the average of the periods to obtain six pairs of data (k,7), as shown in Table 1 and Figure 1. Table 1. Results of the average oscillation period for each spring of known constant in a BMMD. Spring constant k ± 0,001 kg/s² Oscillation period T ± 0,001 s 455,000 2,684 480,000 2,613 515,000 2,522 590,000 2,357 712,000 2,145 900,000 1,955 Answer the following questions based on the information provided and the operating fundamentals of the BMMD. A. Plot T as a function of k. Justify why it is not a linear relationship and explain why it has a decreasing or increasing trend. Figure 1 Graph of Period of oscillation (T) as a function of spring constant (k). Period of oscillation (T) as a function of spring constant (k) 2,700 2,684