1. Calculate the angle a person needs to lean from the vertical wher 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 = O

1. Calculate the angle a person needs to lean from the vertical wher 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 = O

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter1: A Physics Toolkit

Section: Chapter Questions

Problem 83A

See similar textbooks

Similar questions

If you live in the United States, you probably know your height in feet and inches. In other countries, metric units are commonly used for measuring such quantities. First, find your height in inches. Then determine your height in a. centimetens and b. meters
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.”
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.)
Check Your Understanding Suppose we want the formula for the volume of a sphere. The two expressions commonly mentioned in elementary discussions of spheres are 4r2 and 4r3/3 . One is the volume of a sphere of radius r and the other is its surface area. Which one is the volume?
A surveyor measures the distance across a river that flows straight north by the following method. Starting directly across from a tree on the opposite bank, the surveyor walks 100 m along the river to establish a baseline. She then sights across to the tree and reads that the angle from the baseline to the tree is 35 . How wide is the river?
Please answer 1-3 sub-units.7. A box measures 3.12 ft m length, 0.0455yd in width and 7.87in in height. What is it volume in cubic centimeter?8. A block occupied 0.2587ft3. What is its volume in mm3?9. If you are going 55mph. What is your speed in nm per second?
ProcedurePart A: Circles and Ratio of Circumference/Diameter1. Obtain three different sizes of cups, containers, or beakers with circular cross section. Trace around the bottoms to make three large but different-sized circles on a blank sheet of paper. 2. Mark the diameter on each circle by drawing a straight line across the center. Measure each diameter in cm and record the measurements in Table 2.1. Repeat this procedure for each circlefor three times. 3. Measure the circumference of each circle by carefully positioning a string around the object’s base, then mark the place where the string ends meet. Measure the length in cm and record the measurements for each circle in Table 2.1. Repeat the procedure for each circle for three trials. Find the ratio of the circumference of each circle to its diameter. Fill the ratio for each trial in Table 2.1. 4. The ratio of the circumference of a circle to its diameter is known as pi (symbol π), which has a value of about 3.14. Compare your…
Given that 1 maz is equal to 2.97 x 10-11 gal, how many nL are there in 79.8 maz? Report your answer to 3 significant figures. (NOTE: A maz is a fictitious unit of volume, the other units are actual units of volume.) Type your answer... Previous
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
mass 9. Density = volume' Gasoline has a density of about 0.66 grams per cubic %3D centimeter. To the nearest kilogram, what is the mass of a container of gasoline that measures 30 centimeters by 30 centimeters by 30 centimeters deep? onsupse bsmrbhA136t edimsn .c B 59 O40 18
The primary dimensions of the constants (a, b) given in the equation F(y) = V (by –- ab) are equal to: Where: F: Force, V : Velocity, Y : Length A. b = -, b = а. a 1²L²° b. | a = [M²L²] C. a = M [L], b [LT. d. a =
(a) The volume V of a growing spherical cell is V = ³, where the radius is measured in micrometers (1 μm = 10-6m). Find the average rate of change of V with respect to r when r changes from 6 to each of the following. (Round your answers to one decimal place.) (i) 6 to 9 μm # Tab (ii) 6 to 7 μm aps Lock Esc Submit Answer (iii) 6 to 6.1 um (b) Find the instantaneous rate of change of V with respect to r when r = 6 μm. (Round your answer to one decimal place.) V'(6) = Tum3 / um Need Help? um3/um 1 μm³/um F1 Q um3/um Type here to search Read It F2 2 F3 # 3 O WE F4 $ 4 E R F5 C % 5 T F6 ( A 6 F7 Y 0 & 7 F8 U 4 * 8 F9 8 ( 9 F10 66°F Clear ) F11 0 A O6 6 P A S D F G H J K 2 L 3 Activate Windows Go to Settings to activate Windows. O F12 4) ENG 9:36 PM 10/6/2022 U Backspace Delete Enter