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5. The electric and magnetic fields can be used together to perform measurements of the properties of charged particles. We explore this relationship here. An electron is traveling 4.1 x $10^5$ m/s in a region of space with uniform magnetic field perpendicular to its velocity. It experiences a magnetic force of 2.0 x $10^{-15}$ N. B V e T a. What is the magnitude in Tesla (as a positive number) of the magnetic field? b. You want to balance the magnetic-field force on the electron with an electric force. What electric field direction do you need to get an electric force opposite the direction of the magnetic force? c. You want to balance the magnetic-field force on the electron with an electric force. What electric field magnitude in N/C do you need to do this? d. What will be the path of the electron if this electric field is applied? e. What will be the path of the electron if this electric field is not applied? Remember that if the direction of the electron's velocity changes while the magnetic field stays in the same direction, the magnetic force will change direction.

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36. $\lim_{x \to \pi^{-}} x \cot x$

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Sondra is trying to tell Jocko about her feelings. "I've just been feeling so depressed lately," she confides. In response, Jocko begins talking about sports. She further expresses a concern over her increased drinking, which she feels is her only way to cope. Jocko begins making jokes about the appearances of passersby. What barrier to effective listening is Jocko demonstrating?

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The flange is made of carbon steel with a stainless steel lining (raised face) in the form of a ring. A flat asbestos gasket (Gasket factor = 2) of 1000 mm inside diameter and 1080 mm external diameter with 4 mm thickness is used to cover the raised face. Estimate the following: (i) Minimum bolt load under atmospheric and operating conditions in N. (ii) Bolt area in mm². Data given: Minimum design seating stress = 10.5 N/mm² Design pressure = 0.4 N/mm² Permissible stress = 52 N/mm² We need the answer in N for (i) and mm² for (ii).

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Text: 4-7 equation y = 2x^2 + 12x - 8 for questions 24-28. Write the quadratic function in vertex form.

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Maya, Scott, and Kareem sent a total of 90 text messages over their cell phones during the weekend. Scott sent 5 more messages than Maya. Kareem sent 3 times as many messages as Scott. How many messages did they each send?

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A limited cycle has a compression ratio of 13, with 300 kJ/kg total heat added during the cycle. The pressure and temperature readings before isentropic compression is 95 kPa and 25C, and the heat added during cut-off process is 2/5 of the total. Calculate the mean effective pressure in kPa. (10pts)

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Select the correct answer in the following multiple choice statements. 1. In order to operate on the inelastic portion of the market demand curve, the cartel must be: \begin{itemize} \item Partial (or imperfect) \item Perfect (all firms participate) \item No cartel operates in that portion of the demand curve \item Both imperfect and perfect cartels operate there. \end{itemize} 2. A single-product Natural Monopoly is always sustainable when it is regulated with Ramsey pricing assuming that: \begin{itemize} \item Costs are sub-additive only \item Cost are sub-additive and concave \item Fixed costs are very small \item Ramsey pricing ensures sustainability irrespective of the costs shape. \end{itemize} 3. Bundling raises higher revenues than selling the goods separately when: \begin{itemize} \item Demands for two goods are highly positively correlated \item Demands for two goods are weakly positively correlated \item Demands for two goods are negatively positively correlated \item Goods are complements \end{itemize}

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1 The op-amp approximate differentiator circuit shown below is to be designed to meet the following requirements. - The magnitude of the high frequency gain must be 22 dB. - The value of the feedback resistor should be 100 k$\Omega$. - The critical frequency must be 6 kHz. $R_2$ IP $R_1$ $C_1$ OP $- + $R_3$ Gnd Gnd a) Calculate values for $R_1$ and $C_1$ to meet these specifications. [8 marks] b) If an input triangular voltage waveform of peak amplitude 10 V and frequency 500 Hz is applied, calculate the magnitude of the peak output voltage and justify your workings. [8 marks] c) At what frequency will the output voltage have the same amplitude as the input voltage? [4 marks]

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What problems arise in the application of personal ethics to law enforcement practices and to the criminal justice system? What is the difference between morality, ethics, and professional standards? How should a professional in the criminal justice system resolve a conflict between his or her personal ethics and the requirements of the job?

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