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Question: just question1...

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just question1
We cannot determine the exact amount of work W required to stretch the spring over each slice, but we can approximate it by approximating that the force F needed to stretch the spring over each slice is constant, and that that value is determined by the z-value of the righthand endpoint. In the case where we use 4 slices of equal width and require that the force F be approximated by its value at the righthand endpoint of each slice, we notice that: 4-0 Notice that the width Δι = 4-1. For the darkly shaded third slice: 12 . The righthand endpoint is located at Tg 3Ar 3. The force Fs (in Newtons) is given by . The work W (in Joules) required to stretch the spring over the darkly shaded third slice is thus: Ws # FiAr 30( 1) #30. Using this procedure, fill in the table below. You should include one sample calculation in the box provided after the table it is not necessary to include all of the calculations! rn 2 3 30 30 Use this space to show how you obtained your values for t. F and W/ in the table for one value of n (other than n H 3).
Using this procedure, fill in the table below. You should include one sample calculation in the box provided after the table; it is not necessary to include all of the calculations! n (in m) Fu (in N) Wn in J) 2 30 30 Use this space to show how you obtained your values for n, Fn and Wn in the table for one value of n (other than n = 3). The approximate amount of work required to stretch the spring frorn x = 0 to x = 4 is the sum of works wi, wa, W3, and Wa you found above. Question 1: What is the approximate amount of work required to stretch the spring? The approzimate work (in J) is: Is the answer close to the actual volume of the solid you computed at the beginning of the problem? How could we obtain a better approximation? The answer, as usual, is to use more slices! Of course, it would be a pain to do this by hand! Indeed, if we use 100 slices, we
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