Consider that you measured an angle 0 to be 40 degrees. The uncertainty of your measurement is ± 1 degree. Using the rules for error propagations, determine the uncertainty of sin(0). Clearly show your work. Hint: The uncertainty of any function of a single variable, z = f(x), is the derivative of the function calculated at that point df multiplied by the uncertainty of the variable. A(z) = Ax
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- Determine the surm of all possible values of s. 9. Celine traces paths on the grid below starting at point X and ending at point Y. Each path must follow the lines connecting the dots and only ever move horizontally to the right or vertically down. It may be useful to know that there are a total of 924 such paths. Consider the 7 points labelled A, B, C, D, E, F, and G. List these points in decreasing order of the number of paths passing through that point. For example,B is on exactly one path, so B should be the last point in your list.Please answer both imagesConsider a particle to be constrained to lie along a one-dimensional segment 0 to a. The probability that the particle is found to lie between x and x + dx is given by function p(x)dx where n=1,2,3... Show that p(x)dx is normailized and then calculate the average position of the particle along the line segment. SHOW FULL AND COMPLETE PROCEDURE. Integrals that you need are shown in the second image
- Problem #2 Calculate the Legendre transform (F1) of y = x². For your answer, give the new function F1 and its derivative dF1. (a(f(x)) Note that dy = C dx, C, = f(x), and dC, = (0) dx. dxPlease, I want to solve the question correctly, clearly and conciselyOne cycle of the signal on the oscilloscope screen has width of 2.8 cm (1 division = 1 cm). The setting on the Horizontal TIME/DIV control is 2 us. The period of the signal is us. Write your answer in the tenths place. Only the numerical value will be graded. One cycle of the signal on the oscilloscope screen has width of 2.8 cm (1 division = 1 cm). The setting on the Horizontal TIME/DIV control is 2 us. The frequency is kHz. Write your answer in the tenths place. Only the numerical value will be graded.
- Answer it with a step by step solution with its Formula.Consider the following hypothetical results for an experiment similar to the one you designed and conducted this past week. Refer to Part 2 of the Student Lab Guide, (page 34 on propagation of uncertainty, and pages 53-56 on statistical significance of your results) for assistance. Ben and Jerry tested the dependence of the acceleration of a cart on the net force applied to that cart (a=F/m). The cart mass was known to be 0.600 kg with negligible uncertainty. They plotted acceleration versus force and found the slope of their graph to be 1.70 +/- 0.02. Answer the following questions: (a) What are the units of their slope? Why? (b) What is the expected value of their slope? Why? (c) Is their experimental result consistent with this expected value? Why or why not?Consider a thin hoop of mass (1.420 ± 0.001) kg and radius (0.250 ± 0.002) m. The moment of inertia for a thin hoop rotating about an axis going through its center is MR2 . Calculate the moment of inertia of this hoop and its uncertainty using error propagation rules (see Appendix). Clearly show work. Please solve the uncertainty using the appendix I attached