Numerade

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7. A closed surface with dimensions $a = b = 0.40$ m and $c = 0.60$ m is located as shown in the diagram. The electric field throughout the region is nonuniform and given by $\vec{E} = (3.0 + 2.0x)\hat{i}$ N/C, where x is in meters. (a) Calculate the net electric flux leaving the closed surface. (b) What net (induced) charge is enclosed by the surface? a) $\Phi_E = \Phi_{right} - \Phi_{left}$ $x = a + c$ $E_{right} = 3 + 2 \cdot 0.60 = 3.8$ N/C $A = a \cdot c = 0.40 \times 0.60 = 0.24$ m$^2$ $\Phi_{right} = E_{right} \cdot A = 3.8 \times 0.24 = 0.912$ N m$^2$/C $x = a$ $E_{left} = 3$ N/C $\Phi_{left} = E_{left} \cdot A = 3 \times 0.24 = 0.72$ N m$^2$/C $\Phi_E = \Phi_{right} - \Phi_{left} = 0.912 - 0.72 = 0.192$ N m$^2$/C b) $q_{encl}$ $\Phi_E = \frac{q_{encl}}{\epsilon_0} \implies q_{encl} = \Phi_E \cdot \epsilon_0 = (0.192)(8.85 \times 10^{-12}) = 1.6992 \times 10^{-12}$ C

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If two solid spheres of unequal mass and radius are released simultaneously from the same height on an incline, the heavier solid sphere will reach the bottom first. True False

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a. Identify when Nike recognizes revenues. Does this timing of revenue recognition seem appropriate? Explain.

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What alcohol is formed when the alkene below is treated with $H_2O$ in the presence of $H_2SO_4$? $CH_3$ $H_3C-CH_2-C=CH-CH_3 + H_2O \xrightarrow{H_2SO_4}$ Draw the structure of the alcohol product in the drawing area below. If there is no reaction, check the No reaction box under the drawing area.

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an object has a charge of -4.3μC . How many electrons must be removed so that the charge becomes +3.9 μC

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How long should a personal alliance policyholder retain all liability insurance policies?

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If we want to conduct a study about the POPULATION of all adults in Georgia, which of the following would be the best SAMPLE to represent the entire state? Randomly select 10 people from each county in the state 1000 students from KSU, UGA, and Emory Survey all people in Cobb county

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6. Consider the function $f: \mathbb{R} \rightarrow \mathbb{R}$, defined by $f(x) = |x + 3|$. (a) Let $S = (-5, 3)$. Find $f(S)$. (b) Let $T = (2, 4)$. Find $f^{-1}(T)$.

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Find the derivative of the function. $\qquad h(x) = (x^{10} - 2)^3$ $\qquad h'(x) = $

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Loftus's experiments often involve manipulating: a) Emotional arousal b) Physiological responses c) Social conformity d) Perceptual illusions

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jeremy m.