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- A marathon runner completes a 42.188-km course in 2 h, 30 min, and 12s. There is an uncertainty of 25 m in the distance traveled and an uncertainty of 1 s in the elapsed time. (a) Calculate the percent uncertainty in the distance. (b) Calculate the percent uncertainty in the elapsed time. (C) What is the average speed in meters per second? (d) What is the uncertainty in the average speed?A person measures his or her heart rate by counting the number of beats in 30s. If 401 beats are counted in 30.00.5s , what is the heart rate and its uncertainty in beats per minute?ipa Suppose (p | ) = e¯. What is (x | b) =? V2nh 8 (x – x') 2nh Vasi 8 (x – x') 2πh 8 (x – x') O O
- Growth of yeast cells In a controlled laboratory experiment, yeast cells are grown in an automated cell culture system that counts the number P of cells present at hourly intervals. The num- ber after t hours is shown in the accompanying figure. 250 200 150 100 50 0 1 2 3 4 5 6 7 a. Explain what is meant by the derivative P'(5). What are its units? b. Which is larger, P'(2) or P'(3)? Give a reason for your answer. c. The quadratic curve capturing the trend of the data points (see Section 1.4) is given by P(t) = 6.10r2 – 9.28t + 16.43. Find the instantaneous rate of growth when t = 5 hours.Help! Please use the given number as is in the problem, such as 6.0 x 10^12How many years will it take to occupy the computer's hard drive that can store data of 82 gigabytes if you used the keyboard to input data? Assume "standard" 8-hour working days, and that one byte is needed to input one keyboard character, and that you are capable to type 180 characters per minute.
- Given a = 77 - 10j and d = − 6ỉ – 4j, find + d and |||| + - ||ď||. Give EXACT answers. You do NOT have to simplify your radicals! + ď|| ||||| + |||| = =Hi, please use the numbers that are provided in the problem to solve this for me please. Make sure you use 6.0 x 10^12 as written.Problems A12 1-1. (a) List the SI units of length, mass, time, electric cur- rent, temperature, and amount of substance. Write the abbre- viation for each. Jund juod (b) Write the units and symbols for frequency, force, pres- and power. sure, energy, 1-2. Write the name and number represented by each abbre- viation. For example, for kW you should write kW = kilowatt = 10³ watts. (a) mW (b) pm (c) ΚΩ (d) μC (e) TJ (f) ns (g) fg (h) dpa 163. Express the following quantities with abbreviations for units and prefixes from Tables 1-1 through 1-3: (a) 10-¹3 joules0 + (1)0,HE (b) 4.317 28 x 10-8 coulombs (d) 10-10 meters (e) 2.1 x 10¹3 watts (f) 48.3 x 10-20 moles (c) 2.997 9 x 10¹4 hertz bns M2.01 1-4. Table 1-4 states that 1 horsepower = 745.700 watts. Consider a 100.0-horsepower engine. Express its power output in (a) watts; (b) joules per second; (c) calories per second; (d) calories per hour. 1-5 (a) Refer to Table 1-4 and calculate how many meters are in 1 inch. How many inches are in 1…
- What is the sum of the following numbers, including significant digits and uncertainties: 13.5 + 0.3 plus 5.1 ± 0.2 O 19 + 0.5 O 18.6 ± 1 O 18.6 ± 0.5 O 19 ±1w = FjAc = F .Aë , W = m(v;)* - m(u,)* , v 1 zm(us)* - m(v,)* , W = Problem 1: (a) à = 3â – 2ŷ, B = 4â& – 5ŷ. à ·B =? Answer: 22 (b) à = -2â + 4ŷ, B = 3âu – lŷ. Ā·B =? Answer: –10 (c) à = 5â – 3ŷ, B = -3â – 5ŷ. ÷B =? Answer: 0 1 | F,dx , W = F. dř , F, dU W = -AU dx d = 4m F = 20 N 0 = 30° m = 4 kg Hk = 0.5) m = 2 kg F = 40 N Hk = 0.2 Ө — 30° Problem 2: In the figure above on the left we have a force F = 20 N pulling a box to the right at an angle 0 = 30° above the horizontal. The box has a mass m = 2 kg, the coefficient of kinetic firction between the box and the ground is uk = 0.2, and the block moves a distance d = 4 m to the right. (a) What is the work done by the force F? Answer: 69.3 J (b) What is the normal force from the ground? Use g = 10 m/sec² Answer: 10 N (c) What is the work done by the kinetic friction force? Answer: -8 J (d) What is Wnet, the net work done on the box? Answer: 61.3 J (e) The box has an initial speed of 4 m/sec. What is the speed of the box after it has…S Can 6 PAR к Торс K Unit K In x K Moti = Cop K Unit S Spee S Topo S Math Micr eb.kamihq.com/web/viewer.html?source-filepicker&document_identifier=137VZR5BZOVSAIMOA55WU555_CvJ9NacO + 100 P e Interpreting Graphs Answer the questions following the graphs on each side Dietance va. Time 2 7 10 11 12 13 14 Time in soconds 1. From 1 second to 2 seconds, how fast is the object traveling. (Take the difference in distance and divide it by the time in between the 2 distances) 2. Is the object going as fast between 9 and 12 seconds as it is between 1 and 4 seconds? How can you tell? 3. What is the motion of the object between 4 and 6 seconds? acer