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abigail anderson

abigail a.

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Learning Goal: When the moment of a force is computed about a point, the moment and its axis are always perpendicular to the plane that contains the force and the moment arm. In some instances it is important to find the component of the moment along a specified axis that passes through this point. In addition to scalar analysis, $M_a$, the magnitude of the moment of a force about a specified axis, can be found using the triple scalar product: $M_a = \mathbf{u}_a \cdot (\mathbf{r} \times \mathbf{F}) = \begin{vmatrix} u_{ax} & u_{ay} & u_{az} \\ r_x & r_y & r_z \\ F_x & F_y & F_z \end{vmatrix}$ where $\mathbf{u}_a$ is the unit vector that describes the direction of the specified axis and $\mathbf{r}$ is the position vector to the point where the force $\mathbf{F}$ is applied. Part A Unscrewing a bolt requires a moment of 42.0 lb · in. The z axis passes through the center of the bolt. A force $\mathbf{F} = \{-49.0\mathbf{i} + 5.00\mathbf{j}\}$ lb is applied to the end of the wrench. What minimum length, d, must the wrench have to turn the bolt? Express your answer numerically in inches to three significant figures.

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Question 7 (2 points)Whenever MB > MC, the decision maker should do of the activity a) the same amountb) lessC) mored) noneQuestion 8 (2 points)Which of the following statements is true because of the principle of diminishing marginal utility?A) The total utility of pie is at a maximum while the marginal utility of pie is still increasing.B) When a customer continues to eat more pie at the Pie Palace, each additional piece of pie gives a larger amount of marginal utility.C) When a customer continues to eat more pie at the Pie Palace, each additional piece of pie gives a smaller amount of marginal utility.D)The marginal utility of a piece of pie is maximized when the total utility of pie is zero.

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Which of the following statements about ECT is true? a) If psychotic features are present, ECT is strongly contraindicated and should not be used. b) ECT treatments are administered every other day for a total of six to ten treatments. c) Electric shock is administered directly to the brain for about 5 seconds. d) Short term memory loss and confusion persist for about six months after treatment ends.

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Water is at a pressure of 450 kPa and specific internal energy, u= 622.65 kJ/kg kPa. The temperature of the water in oC is

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The innovations that allowed robust economic growth between 1950 and 2000 were

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er carefully completing the assigned readings, answer the following. 4 points each 1. Discuss the mixed feelings the USA Founding Fathers had about Sparta and Athens.

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(A: 5 points EACH) Locate all of the Instant Centers. (B: 5 points EACH) Calculate the translational velocity of the wheel (i.e. the velocity of the center of the wheel.) Use your preference of the velocity polygon method or the AVRT. $\omega_{input} = 1 \text{ rad/s}$ $\text{Link } 2 = 100 \text{ mm}$ $\omega_{input} = 1 \text{ rad/s}$ $\text{Link } 2 = 100 \text{ mm}$ I. input 2 rolling II. slipping 2 input $V_{input} = 5 \text{ mm/s}$ $\text{Link } 2 = 100 \text{ mm}$ III. input 2 rolling slipping 6

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The balance sheet data of New World Company at the end of 2019 and 2020 follow: (C) Land was acquired for $200,000 in exchange for common stock, par $200,000. (D) During the year, all equipment purchases were for cash. (E) Equipment costing $20,000 was sold for $8,000. The book value of the equipment was $16,000 and the loss was included in net income. (F) Cash dividends of $40,000 were paid during the year. Compute net cash flows from operating activities. Compute net cash flows from investing activities. Compute net cash flows from financing activities. Question 4 The balance sheet data of New World Company at the end of 2019 and 2020 follow: 2020: Cash: $100,000 Accounts receivable (net): $240,000 Merchandise inventory: $280,000 Prepaid expenses: $40,000 Buildings and equipment: $360,000 Accumulated depreciation - buildings and equipment: $72,000 Land: $32,000 Totals: $1,308,000 2019: Cash: $140,000 Accounts receivable (net): $180,000 Merchandise inventory: $180,000 Prepaid expenses: $100,000 Buildings and equipment: $300,000 Accumulated depreciation - buildings and equipment: $160,000 Land: $0 Totals: $1,028,000 Accounts payable: $272,000 Accrued expenses: $220,000 Notes payable - long-term: $48,000 Mortgage payable: $72,000 Common stock, $10 par: $0 Retained earnings (deficit): $160,000 Totals: $1,308,000 Additional information: (A) Net income for 2020 was $132,000 (B) Depreciation expense for the year was $44,000

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Question 8 Draw a Petri Net for the following catalyzed chemical reaction: - D-Glucose 6-sulfate + H2O = D-glucose + sulfate - The reactions are catalyzed by an enzyme EC 3.1.6.3 which is not consumed by the reaction How would the network change if the enzyme is used up in the reaction?

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7. Create a scatter plot of the data in each table. a) Number of people in household 5 4 5 6 3 Average electricity consumption per month (kWh) 1152 928 953 1067 893 b) Number of daylight hours 10.54 10.57 10.60 10.63 10.66 Time spent brushing teeth (s) 47 52 38 40 42 8. For each part, state whether you think the two variables will have any correlation. If you think a correlation exists, describe it briefly. a) Summer temperatures and sales of bottled water b) Price of gasoline and number of people who go to movies c) Price of gasoline and number of day trips people take d) Cost of tuition and number of students who apply to college

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