1. Calculate the angle a person needs to lean from the vertical when1. walking a 14 m (radius) circular track at 22 mins per mile, andEnter to 2 significant figuresAngle with respect to the vertical = 0.85XNo, that's not the correct answer.O2. running at 4 min per mile.Enter to 2 significant figuresAngle with respect to the vertical = 6.8Use 1 mile = 1609.4 mSense-making: Do your results for the leaning angle during walking agree with your observationsabout people walking on circular tracks?

Radius of circular track is Distance is Time is Note:Gravitational acceleration is Find:(1) The…

Calculate the angle a person needs to lean from the vertical when 1. walking a 14 m (radius) circular track at 22 mins per mile, and Enter to 2 significant figures Angle with respect to the vertical = 0.85 2. running at 4 min per mile. Enter to 2 significant figures Angle with respect to the vertical = [6.8 Use 1 mile = 1609.4 m X X 0

Calculate the angle a person needs to lean from the vertical when 1. walking a 14 m (radius) circular track at 22 mins per mile, and Enter to 2 significant figures Angle with respect to the vertical = 0.85 2. running at 4 min per mile. Enter to 2 significant figures Angle with respect to the vertical = [6.8 Use 1 mile = 1609.4 m X X 0

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter3: Two-dimensional Kinematics

Section: Chapter Questions

Problem 1CQ: Which of the following is a vector: a person's height, the altitude on Mt. Everest, the age of the...

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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.)
Which of the following is a vector: a person's height, the altitude on Mt. Everest, the age of the Earth, the boiling point of water, the cost of this book, the Earth's population, the acceleration of gravity?
Check Your Understanding Figure 1.4 says the mass of the atmosphere is 1019kg . Assuming the density of the atmosphere is 1kg/m3 , estimate the height of Earth’s atmosphere. Do you think your answer is an underestimate or an overestimate? Explain why. How many piano tuners are there in New York City? How many leaves are on that tree? If you are studying photosynthesis or thinking of writing a smartphone app tot piano tuners, then the answers to these questions might be of great interest to you. Otherwise, you probably couldn’t care less what the answers are. However, these are exactly the soils of estimation problems that people in various tech industries have been asking potential employees to evaluate their quantitative reasoning skills. If building physical intuition and evaluating quantitative claims do not seem like sufficient reasons tot you to practice estimation problems, how about the fact that being good at them just might land you a high-paying job? For practice estimating relative lengths, areas, and volumes, check out this PhET (https://openstaxcollege.org/l/21lengthgame) simulation, titled “Estimation.”
Please answer the following question(s): 1. Calculate the angle a person needs to lean from the vertical when 1. walking a 17 m (radius) circular track at 22 mins per mile, and Enter to 2 significant figures Angle with respect to the vertical = = 2. running at 4 min per mile. Enter to 2 significant figures Angle with respect to the vertical = Use 1 mile = 1609.4 m ✓ O O
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I make a scale model of a tower using a scale of 1:300. If the real toweris 120 metres tall, how tall is my scale model in cm? Explain
The height of a certain hill (in feet) is given by h(x, y) = 10 (2xy - 3 x^2 - 4y^2 -18x +28y + 12), where y isthe distance in miles (north), x the distance east of South Hadley, Massachusetts.a.) Where is the top of the hill located? b.) How high is the hill? c.)How steep is the slope (in feet per mile) at a point 1 mile north and one mile east of South Hadley? Inwhat direction is the slope steepest, at that point? d.) Make a contour map and a 3D plot of the area surrounding South Hadley, from 8 miles west to 4 mileseast, and 2 miles south to 8 miles north. Plot only positive heights on the 3D graph; use If to help youout
1.67 Ka into ma 3.296X10° Km into mm. 4.967 Kg into da S8961m into (m 6.3.45X lo? m/s into Km/hr 7.234x 63Kmlhre into ms 8.233 um into m 9,432x10" Kq into9
The density (p) of the atmosphere as a function of altitude (A) can be approximated by the model shown in the graph. What are the units of the constant 1.225? O A. dimensionless O B. kg m^3 OC. kg/m^3 O D. m^2/kg p= 1.225 e0.0001 A O E. m OF. kg O G. m^3/kg O H. kg/m^2 Altitude (A) (m] Density (p) [kg/m®]
zepto 10-21 yotto 10-24 y H.W Q1. Check the correctness of the following relation by using method of dimensions .where v and u are velocities, a acceleration ,f force ,r radius and s time. (i) v = u + at (ii) F = mv / r (iii) v²-u²= 2as Q2: Convert work of 1 erg into Joule. we need to convert work from CGS system to MKS system ## erg (CGS unit of work)
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Po = 25 uc/m³ is distributed uniformly through a certain region. If V=50 at y = 2 and V= 90 at y = 5, &, = 2. a- Give the solution and calculate V, E. b- Draw V, Ē, IE with respect to y-axis. c- Now if p₂ = 0, give the solution and calculate V, Ē.