Numerade

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(a) Find the potential at a distance from a very long uniformly charged conductor with linear charge density (charge per unit length) $\lambda$. Then find the potential of the charged cylinder (note that you will need to set $V_b$ to be zero at some arbitrary point.) Hints: 1. You will need the electric field of a line charge. 2. You will need to figure out where the electric potential is zero and it's not infinity in this problem. (a) $E_r$ r (b) $E_r$ r R Figure 3: Problem 10

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Write the overall balanced reaction for the following reaction mechanism. Step 1: $O_2(g) \rightleftharpoons 2O(g)$ Step 2: $O(g) + N_2(g) \to NO(g) + N(g)$ Step 3: $N(g) + O(g) \to NO(g)$ overall reaction: Identify any intermediates in the reaction mechanism. N(g) O(g) NO(g)

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given the definition of ecology and its focus, which of the following would be considered an ecological observation. a. plants, algae and some bacteria are collectively known as producers. b. many trees communicate with one another through undergroun fungal root and networks

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R1 R2 iL Us(t) + C ३ L Figure P4.12: Circuit for Problems 4.12 and 4.16. Problem 4.16 4.16 Analyze the circuit shown in Fig. P4.12 to determine iL (t), in response to a voltage excitation us(t) in the form of a 10 V rectangular pulse that starts at t = 0 and ends at t = 5 s. The element values are R₁ = 1 Ω, R2 = 3 Ω, L = 2 H, and C = 0.5 F.

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(4) After a sufficiently long time, the mass of the Fe(s) electrode will significantly decrease, and the mass of the Ag(s) electrode will significantly increase. (5) Recall that ΔG° = -nFE°(cell) where n is the number of electrons transferred in the balanced overall redox reaction, F = 96.5 kJ/(mol-V), and E°cell is E°cathode - E°anode. To three significant figures, ΔG° = kJ/mol at 25°C for the redox reaction that drives the cell. [Enter a number to three significant figures with the correct sign (+/-). Do not use scientific notation. Example: -349].

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Determine a x 6 and b x a for each pair of vectors. a) = [3, -2, 9), 5 =[1, 1, 6]

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A good with no close substitute is predicted to have relatively___ demand, since consumers cannot easily switch to a substitute good if the price of the good were to increase.

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What muscles are associated with expiration? What do they do to help push air out of the lungs?

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Problem 10. (2 points) A chain with length 4 m is hanging from the top of a building. If the chain has mass 32 kg and is very flexible, then the work to lift this chain over the top of the building is (include units in your answer)

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The velocity profile in fully developed laminar flow in a 10-cm-diameter circular pipe is: $V(r) = V_{max} [1 - (r/0.05)^2]$ (m/s). The maximum velocity of $V_{max} = 4 m/s$ was measured at the centerline of the pipe. Determine the mass flow rate. (Assume density$=1000 kg/m^3$. Express the answer in kg/s with 1 decimal)

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scott t.