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Deduce an expression for equivalent capacitance C when three capacitors C1,C2 and C3 are connected in parallel.
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Considering the same scenario as in the "CoM and Moment of Inertia" HW problem 1 (feel free to use the answers provided from that HW to solve this problem). A) If the hoop-rods system is grabbed from its CoM, so it is stationary but free to rotate around its center. What would the angular velocity be if it starts at rest and a tangential force F is applied for a time t? B) The hoop-rods system is placed at the bottom of a ramp. What is the maximum height that the center of the hoop would reach given the angular speed from part (A)?
Ballistic Seed Dispersal. Some plants disperse their seeds when the fruit splits and contracts, propelling the seeds through the air. The trajectory of these seeds can be determined with a high-speed camera. In an experiment on one type of plant, seeds are projected at 20cm above ground level with initial speeds between 2.3m/s and 4.6m/s The launch angle is measured from the horizontal, with +90∘ corresponding to an initial velocity straight up and −90∘ straight down.If a seed is launched at an angle of 0∘ with the maximum initial speed, how far from the plant will it land? Ignore air resistance, and assume that the ground is flat. (a) 20cm; (b) 93cm; (c) 2.2m;(d) 4.6m.
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Question Text | Question 11.1. The data in the following table were gathered for an environmental impact study that examined the relationship between the depth of a stream survey and the rate of its flow (Ryan,Joiner,and Ryan1976XyDepth Flow Rate 0.34 0.636 0.29 0.319 0.28 0.734 0.42 1.327 0.29 0.487 0.41 0.924 0.76 7.35 0.73 5.89 0.46 1.979 0.4 1.1241.1 a. Use the least squares method in its matrix approach to fit the model Yi=o+x+x+i.You may use Matlab or any package of your choice and if vou do it with a calculator,round up vour answers to 6 decimal places. [15] 1.1b.Predict the flow rate values for the depths:0.49;0.51;and 0.68. [6] 1.1 c.Calculate the residual sum of squares RsS [4] |
Topic | All topics |
Subject | Physics |
Class | Class 12 |