Numerade

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Jane and John, with masses of 141 kg and 104 kg, respectively, stand next to one another on a frictionless surface. Jane pushes on John, giving John an acceleration of 1.5 m/s2 away from her. What is the magnitude of Jane's acceleration? Report your answer in units of meters-per-second-squared. For example, if your calculation produces a value of 1.23 m/s2, enter your answer as 1.23.

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cylindrical rotor synchronous motor with Ef = 1.5 p.u is connected to an infinite bus-bar. The machine has a synchronous reactance of 1.2 p.u and output power delivered to the load is 0.5 p.u.With all losses ignored. a. Find the magnitude of reactive power delivered or absorbed by the synchronous motor. b. If load on the motor is increased to its rated load (Vt = P = 1 p.u) without any change in its field current, repeat part (a). c. With load as a given in part (a) if the excitation voltage is reduced to 0.75, repeat part (a).

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4) An assembly-line operator samples between 45 and 50 parts from 12 different production runs. He wants to monitor the number of defective units in each subgroup. Which control chart should he use? \begin{tabular}{|r|r|} \hline Subgroup Size Defective Units \\ \hline 47 & 25 \\ \hline 49 & 37 \\ \hline 45 & 38 \\ \hline 48 & 11 \\ \hline 45 & 19 \\ \hline 49 & 22 \\ \hline \end{tabular} P NP C U

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2. Two firms can control emissions at the following marginal costs: $MC_x = 200a_x$ and $MC_y = 100a_y$ where $a_x$ and $a_y$ are, respectively, the amount of emissions reduced by firm $x$ and firm $y$. Assume that with no control at all, each firm would be emitting 20 units of emissions or a total of 40 units for both firms. (a) Consider a cap-and-trade system that aims for a total reduction of 21 units of emissions is necessary. i. What is the equilibrium allocation of permits to each firm? ii. At what price would these permits sell for at an auction (b) Assume that the control authority wanted to reach its objective by using an emissions charge system instead. i. What tax amount should them impose to reach this equilibrium? ii. How much revenue would the government collect? (c) Why is cap-and-trade more cost-effective than a uniform standard where each firm reduces pollution by 10.5 units?

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The most accurate description of the prognosis for individuals with body dysmorphic disorder is that __________.

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Antibiotic resistance in bacteria is transferred from one species to another by a) transposons b) viruses c) mutation d) the host they infect

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100.0 grams of aluminum chloride reacts with 100.0 grams of sodium oxalate producing solid aluminum oxalate and aqueous sodium chloride. (moles) I C F

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If $m\angle 1$ is $(3x - 2)$^\circ and $m\angle 2$ is $(9x - 4)$^\circ, find the measures of $\angle 1$ and $\angle 2$.

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Consider a driven oscillating spring-mass system modeled by $my'' + by' + ky = F_0 \cos(\omega t)$. Find the practical resonant frequency of a spring-mass system with mass 7 kg, a spring constant of $10 \frac{N}{m}$, and viscous damping whose coefficient is $4 \frac{Ns}{m}$. $\omega = $

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Problem No. 6.5 /10 pts. R? R? + + R? R? + V? R? - V_{s1} V_{s2} V_{s1} = 2.5 V R? = 12.0 k?; R? = 8.0 k?; R? = 12.0 k?; R? = 48.0 k?; R? = 5.0 k? 1) What op amp circuit configuration is this? 2) Find $v_o$ in terms of $v_{s2}$ Show all your work, do not skip steps. Displaying only the final answer is not enough to get credit.

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sergio s.