Numerade

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Question 3 (a) Consider a vehicle resting on a slope with an inclination angle $\theta$ to the horizontal. The vehicle has total mass of 6000 kg and is held at rest on a slope of $12^\circ$. It has a wheel base of 230 cm and its center of gravity is 120 cm from the rear axle and 155 cm above the ground level. (i) Derive the equations for the normal reactions at the wheels and find their respective values. (ii) Assuming that sliding does not occur first, what will be the angle of slope so that the vehicle will overturn? (iii) Assuming all the wheels are to be braked, what will be the angle of the slope so that the vehicle will begin to slide if the co-efficient of adhesion between the tyre and the ground is 0.45? (15marks) (b) For a motor vehicle, the rolling resistance is given by $13.6 + 0.6965 V$ and the air resistance by the expression $0.0827 V^2$ the resistance being in N and V the speed in km/hr. If the transmission efficiency is 88%, calaculate the bkW required for a top speed of 128 km/h. Assuming that the engine torque at 48km/h in top gear is 25% more than that at 128 km/h and the vehicle inertia corresponds to a weight of 17805N, calaculate the acceleration in m/s$^2$ at 48 km/h. (10marks) Question 4

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If you have a strand of DNA with the following sequence: What is the complementary strand of DNA? 3’ G T T A C A A T A G C G T G G C A C C T A C T T G 5’ 5' C A A T G T T A T C G C A C C G T G G A T G A A C 3' If this DNA is transcribed, what is the corresponding mRNA? 3’ G T T A C A A T A G C G T G G C A C C T A C T T G 5’ 5' C A A U G U U A U C G C A C C G U G G A U G A A C 3' If the mRNA is translated, what is the order of amino acids found in this mRNA which code for a protein?

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a 25.0 ml sample of gas at 4.00 atm and 11 C is brought to 760. mm Hg and 18 C. What is the new volume?

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If the dollar appreciates against the Mexican peso Group of answer choices Mexican exports to the U.S. become more expensive. U.S. exports to Mexico become less expensive. U.S. exports to Mexico become more expensive. The value of Mexican imports to the United States does not change.

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Identify the key features of a continuous audit and the common techniques to implement the audit.

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The health benefits of exercise include all of the following EXCEPT: decreased blood pressure. increased HDL cholesterol. O decreased insulin sensitivity of tissues. reduced risk of osteoporosis.

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Book X Calculator Meme Financial statements of a manufacturing firm Labels and Amount Descriptions Income Statement Instructions Inventory Balances Income Statement Revenues 2 Cost of goods sold Gross profit Selling and administrative expenses: Selling expenses Shaded cells have feedback Administrative expenses Total selling and administrative expenses Income from operations $319,590.00 125,080.00 Check My Work $1,405,850.00 799,480.00 $606,370.00 $161,700.00 0

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You received partial credit in the previous attempt. View previous attempt Mountain Mack spends his time carving fishing lures and duck decoys. If Mountain Mack spends all of his time carving fishing lures he can carve 50 lures in a week. If he spends all of his time carving duck decoys he can carve 40 decoys in a week. For every 8 duck decoys Mountain Mack carves he must give up 10 fishing lures. Mountain Mack's Production Possibilities Schedule Fishing Lures Duck Decoys 50 0 40 0 32 10 24 20 8 40 0 40 Instructions: Enter your answers as a whole number. Fill in the values in the table to complete Mountain Mack's production possibilities schedule.

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3. [0/1 Points] DETAILS PREVIOUS ANSWERS OSUNIPHYS1 27.2.P.032. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Refer to the figure. $I_1 = ?$ $V_1 = ?$ $R_1 = 1.70 \Omega$ + $V = 12.0 V$ $I_2 = ?$ (a) Calculate $P_3$ (in W). x W $R_2 = 4.80 \Omega$ $R_3 = 13.6 \Omega$ $V_3 = ?$ (b) Find the total power (in W) supplied by the source. w Compare the total power with the sum of the powers dissipated by the resistors. (Consider two values to be equal if they are within 3% of each other.) The total power is equal to the sum of the powers dissipated by the resistors. The total power is less than the sum of the powers dissipated by the resistors. The total power is greater than the sum of the powers dissipated by the resistors.

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Develop a solution for the following line balancing problem, allowing a cycle time of 5 minutes. a. Draw the precedence diagram for the set of tasks. b. Calculate the theoretical minimum number of workstations. c. Balance this line using the longest task time heuristic. d. What tasks are assigned to which stations? e. Does the solution have the minimum number of stations? Explain. f. How much idle time is there, summed over all workstations? g. What is the efficiency of this line? Work Task A B C D E F G Task Time (seconds) 70 60 120 60 240 100 190

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mary s.