Numerade

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A 235 g mass attached to a horizontal spring oscillates at a frequency of 1.00 Hz. At $t = 0$ s, the mass is at $x = 6.00$ cm and has $v_x = -40.0$ cm/s.

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3. Two boats are initially tied together at location Q. They uncouple and simultaneously leave in the directions indicated with the velocities shown. Please determine: a. What is the relative velocity of Boat A with respect to Boat B? ($v_{A/B} = -3.67i + 2.5j$ m/s) b. How long after they uncouple will the boats be 100 meters apart? (t = 22.5 sec) 4. Two vehicles travel on the same road. Initially Car A is traveling at a constant speed of $v_A = 330$ ft/s and Car B is traveling at 120 ft/s and is accelerating at 18 ft/s². Car B follows a radius of curvature of $p$ = 600 ft. Find: a. What is the relative velocity of Car B with respect to Car A? ($v_{B/A} = 84.9i + 245j$ ft/s) b. What is the relative acceleration of Car B with respect to Car A?

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A severely depressed client in the unit seems less lethargic and agrees to involve herself in an occupational therapy program. Which of the following actions by the support worker is helpful in making the session successful?

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On the following graph, use the orange points (square symbol) to plot Mina's foul-shooting percentage for each game individually, and use the green points (triangle symbol) to plot Mina's overall average foul-shooting percentage after each game. Note: Plot your points in the order in which you would like them connected. Line segments will connect the points automatically. 100 90 FREE-THROW PERCENTAGE 80 70 60 50 40 30 20 10 0 0 1 2 3 GAME 4 5 Game Foul-Shooting Percentage A Average Foul-Shooting Percentage You can think of the result in any one game as being Mina's marginal shooting percentage. Based on your previous answer, you can deduce that when Mina's marginal shooting percentage is below the average, the average must be ? You can now apply this analysis to production costs. For a U-shaped average total cost (ATC) curve, when the marginal cost curve is below the average total cost curve, the average total cost must be ?. Also, when the marginal cost curve is above the average total cost curve, the average total cost must be ?. Therefore, the marginal cost curve intersects the average total cost curve

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1. Show that the equations (i) $ 4 p^{2}=9 x $ and (ii) $ x^{2}+y=p^{2} $ have no singular solutions. -96-G.C

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2. Complete the following table: If ionic: Water-solub lonic or Covalent? If covalent: water-insolu Cation charge? Anion charge? polar or nonpolar? (based upon observatio NaCl (sodium ion ic Water-Solu chloride) CaCl2 (calcium 10 NIC chloride) CaCO3 (calcium ionic carbonate) Na2CO3 (sodium 1041C carbonate) Fe2O3 (Iron(III) ionic oxide) C12H22O11 (sucrose) covalent C27H460 (cholesterol) CO covalent water-solu Water-inst water-sol water-ins water-so water-inst

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(c) What is the volume occupied, in litres, by 61.5 moles of cyclohexene? 9 marks Part 2 - Reactions of Cyclohexene (i) Action of bromine Observations: the solution was colourless (no colour) when bromine water was added. 2 marks Write an equation for this reaction, indicate the type of reaction & name the product. 8 marks (ii) Action of potassium permanganate Observations: the solution went a very 2 marks light brown when potassium permanganate was added. The product of this oxidation reaction has the trivial name of adipic acid. Draw the structure of adipic acid. 2 marks

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8. What are two types of change that project managers have to deal with during project execution? | 1. Note that one of the management processes in the executing process group is associated with procurement. Why is procurement such a major part of execution? 4.Suppose you are the project manager for the following project: First, draw a network diagram for the project. Determine the critical path and slack times for all of the tasks. This completes your plan for the project schedule. During project execution, you become aware of the need to change the duration of Task 4 to five days. Meanwhile, Task 3 has been finished one day early, so it only took one day to do. What, if any, effects do these changes have on your project? What would have happened if you had not been monitoring the status of the project?

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A one-machine system is shown below. Data for the system is as follows: G: X = j0.25 pu, T = j0.1 pu, L = j0.4 pu Line 1 Line 2 Initially, Ec = E = 1.0 pu, and P = 0.85 pu. Determine whether the system is stable or not, if the load is increased to 1.4 pu. If the answer is that the system is stable, obtain the maximum angle of the oscillations (&).

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I$_o$ 10(+) 10 20 10 +\frac{V_o}{2} +2I_o 10 -V_o +25 I_o 20 I_3 10 10 I_2 10 +\frac{V_o}{2} 10 V_o 25 I get: KVL 1 -10 + 20I_o + \frac{V_o}{2} = 0 KVL 2 -10I_1 + 10I_2 + 25 = 0 KCL = I_3 + I_1 = I_2 I cannot get the answers, Is my KVL 2 wrong, and if so, why?

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sarah d.