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- Consider the equation s=s0+v0t+a0t2/2+j0t3/6+s0t4/24+ct5/120 , were s is a length and t is a time. What are the dimensions and SI units of (a) s0 , (b) v0 , (c) a0 , (d) j0 , (e) s0, and (f) c ?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