Here's the aluminum (Al) cylinder: 1 4 Here's the lead (Pb) cylinder: 3. 1. What is your estimate for the uncertainty on the length in meters? op = 0.001 m Quantity AI Pb 0.038 0.031 Length (m) Your answer is too low. ± 0.002 X Your answer is too low. ± 0.002 Diameter (m) 0.0268 ± 0.0001 0.0246 ± 0.0001 Volume (m³) Mass (kg) 0.1340 ± 0.0001 0.1994 ± 0.0001 Density (kg/m³)

I am confused with part (e).  I don't understand the steps. How is 1.427 obtained?   How is the 20t  moved to the left side of the equation, since it is inside the COS() function?   I am just not understanding the math.   Can you step it through with an explanation at each individual step?

How is the Strouhal number defined and what does it link?

Explain step by step this integration

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Calculate the (relativistic) minimum kinetic energy of an electron confined to a carbon nucleus, which can be modeled as a sphere of radius 2.7 fm. Sketch the situation, defining all of your variables

(b) Write a necessary condition for a transformation (q,p) to (Q,P) to be connonical. Prove that P-2(1+√qcosp)√q sinp:Q-log(1+√qcosp)

Hi can you solve the question plz? and make brief explanation, ( plz if you are gonna use handwrite pls make sure that is clearly readable)

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?

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