The relationship between the area (A) of several disks and their corresponding diameters (d) is shown in the figure beside. The calculated value of П is: Log A Slope =2 Log d -0.2 a. 3.1416 b. 3.1589 c. None of the above is correct. d. 3.1773 e. 2.5238
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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?The first atomic bomb was detonated on July 16, 1945, at the Trinity test site about 200 mi south of Los Alamos. In 1947, the U.S. government declassified a film reel of the explosion. From this film reel, British physicist G.I. Taylor was able to determine the rate at which the radius of the fireball from the blast grew. Using dimensional analysis, he was then able to deduce the amount of energy released in the explosion, which was a closely guarded secret at the time. Because of this, Taylor did not publish his results until 1950. This problem challenges you to recreate this famous calculation. (a) Using keen physical insight developed from years of experience, Taylor decided the radius rof the fireball should depend only on time since the explosion, t, the density of the air, , and the energy of the initial explosion, E. Thus, he made the educated guess that r=kEabtcfor some dimensionless constant kand some unknown exponents a,b, and c. Given that [E]=ML2T-2 , determine the values of the exponents necessary to make this equation dimensionally consistent. (Hint: Notice the equation implies that k=rEabtcand that [k]=1 ). (b) By analyzing data from high-energy conventional explosives, Taylor found the formula he derived seemed to be valid as long as the constant khad the value 1.03. From the film reel, he was able to determine many values of rand the corresponding values of t. For example, he found that after 25.0 ms, the fireball had a radius of 130.0 m. Use these values, along with an average air density of 1.25kg/m3 , to calculate the initial energy release of the Trinity detonation in joules (J). (Hint: To get energy in joules, you need to make sure all the numbers you substitute in are expressed in terms of SI base units.) (c) The energy released in large explosions is often cited in units of “tons of TNT” (abbreviated “t TNT”), where 1 t TNT is about 4.2 GJ. Convert yow answer to (b) into kilotons of TNT (that is, kt TNT). Compare your answer with the quick-and-duty estimate of 10 kt TNT made by physicist Enrico Fermi shortly after witnessing the explosion from what was thought to be a safe distance. (Reportedly, Fermi made his estimate by dropping some shredded bits of paper right before the remnants of the shock wave hit him and looked to see how far they were carried by it.)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 ?
- i need help on this hw question. final answers should include correct significant digit/decimal places/units. thank you.eferences Mailings Tell me Review View La v AaBbCcDdEe AaBbCcDdE AaßbCcDdE E- Av Normal Title No Spacing 1. Number 0.02010 has how many significant figures? a. 2 b. 3 C. 4 d. 5 e. Could be 3 or 4. 2. Which of the following numbers is written in correct scientific notation? a. 56.4 x 102 b. 0.192 x 105 C. 2.34 x 10-34 d. 9.19 x 10-3.1 e. 8.29 x 10-3 3. When a ball is thrown vertically upwards in the air, acceleration the ball experiences: a. Increases. b. Decreases. C. Increases, and then decreases. d. Decreases, and then increases. e. Remains the same. 4. Two cars, A and B, travel in the same direction on a highway. At one moment, car A has a greater velocity than car B. This means at that moment: a. Acceleration of car A is greater than that of car B. b. Acceleration of car A is less than that of car B. c. Acceleration of both cars are equal. d. Only the magnitudes of the acceleration of both cars are equal. e. There is not enough information to draw any conclusions regarding…46. Given the equation F- m/R, what relationship exists between each of the following? (1.3) a. Fand R b. Fand m c. Fand v
- 云2 A eclass.yorku.ca U PHYS18... M (2,045)... M(98) - fa.. 105-Fe... Future S. U of Study... Ly Assignm... YouTube M(2,045)... HYS1800 A - Engineering Mechanics (Fall 2021-2022) My courses / SC/PHYS1800 A - Engineering Mechanics (Fall 2021-2022) / Work and Energy / Assignment 6 A car travels at a steady 30.3 m/s around a horizontal curve of radius 111 m. What is the minimum coefficient of static friction between the road and the car's tires that will allow the car to travel at this speed without sliding? Answer: Next page MacBook Air DD 08 F3 64 F5 F6 F4 F2Problem 2. Kinetic energy K has dimensions kg m² /s². It can be written in terms of the momen- tum and mass m as p2 K 2m (a) Determine the proper units for momentum using dimensional analysis. (b) The unit of force is hill Philiy %3D (0.1) the newton N, where 1N 1kg · m/s?. What are the units of momentum p in terms of a newton and another fundamental SI unit?pls answer #29 with complete solutions. Thanks! Analyze the problems carefully, then solve them. Be systematic when answering. Write the given, label them; the required; and all calculations pertinent to the problem. Express your numerical answers with the appropriate number of significant figures.
- At t=o , the diagram belou shows V and I. write vlt) and ict) 'in the frequenay domain : vIE)=Vm cos (wt+ P, i (6) = Im coscas t+ $ ) where ! : C- - -) 2 (a)300,-60 (b) - 60, 0 - 6 0 + Vm GO d) 60 , o ve)o, 6 0I have a question for the square root of units. So I have the formula 2pi√m/k And m=50g and k=32,700 dynes/cm. (dynes is g x cm/sec2) So when I plug everything in and cancel units out im left with √654sec2 My question is does the square root cancel out with sec2 individually so i'll still have to square root 654 or does the square root cancel out with the whole thing and im left with 654 without having to square root it. Therefore leading to 2pi(654sec). Or would it be 2pi(25.6sec)I need assignment helper for physics , I can 100 + assignment per day with daily and weekly payment . It you are interested whatsapp me 7524003562. Please don't answer this directly here because I need more experts only whatsapp me