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 == 0.85! No, 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?O

Answered: Image /qna-images/answer/ceeb44e6-3c31-4a92-b8f4-cba3927ba54c.jpg

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 0 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 Sense-making: Do your results for the leaning angle during walking agree with your observations about people walking on circular tracks? O

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 0 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 Sense-making: Do your results for the leaning angle during walking agree with your observations about people walking on circular tracks? O

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter1: Units And Measurement

Section: Chapter Questions

Problem 33P: In SI units, speeds are measured in meters per second (m/s). But, depending on where you live,...

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In SI units, speeds are measured in meters per second (m/s). But, depending on where you live, you’re probably mole comfortable of thinking of speeds in terms of either kilometers per hour (km/h) or miles per hour (mi/h). In this problem, you will see that 1 m/s is roughly 4 km/h or 2 mi/h, which is handy to use when developing your physical Intuition. More precisely, show that (a) 1.0m/s=3.6km/h and 1.0m/s=2.2mi/h .
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.)
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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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
Q10. The height of a certain hill (in feet) is given by h(x, y) = 10(2xy- 3x2 - 4y² - 18x + 28y + 12), where y is the distance (in miles) north, x the distance east of South Hadley. How steep is the slope (in feet per mile) at a point 1 mile north and one mile east of South Hadley? In what direction is the slope steepest, at that point?
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.
1%A9 li. t LTET 4G+ Vol) O A X O U 9:-7 Second H.W.pdf 1. Draw and label the vector with these components. Then determine the magnitude and angle of the vector. a- Az = 3 ,A, = -2 b- B, = -2 ,B, = 2 2. What is the speed of horse in meter per second that runs a distance of 1.2 miles in 2.4 minutes? 3. A car moving along X- axis according on the function: X (t) = 2 t2 + 5t +7 on [1,2] Find: a- The average velocity. b- The acceleration at 3s. 4. Julie is walking around a track at a 2m/s for some exercise. She then decides to start jogging so she accelerates at a rate of 0.5m/s? for 3 seconds. How far did Julie travel from the time she started to accelerate to the end of the 3 seconds? 5. Ralph uses a 2000 to do this. force to push his car along a road for 1000 m. It takes him500 s a- Calculate the amount of work that Ralph did on the car. b- Calculate the amount of power that he generated. II
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The extraterrestrials in an exoplanet in a distant galaxy have the following units to measure distances.1 dray = 12 elim; 1 toof = 24 dray; 1 chin = 1250 toof. a. Convert 2.4 chin to elim. __________________ elim b. The alien grows vegetables in 16.0 square dray (i.e., dray2) patch. Calculate the area of the patch insquare elim (i.e., elim2).____________ clim2
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
1. Multiplication or division: keep the same number of significant figures in the product or quotient as is in the least precise factor. Examples: 3.1 * 25.6=79.360000... = 79 6.7/981.0=0.0068297655... = 0.0068 keep only 2 significant digits 2. Powers or roots: keep the same number of significant figures as in the original number. Example: Sqrt(38) 6.164414... keep only 2 significant digits = 6.2 (11.6)² = 134.5600000... = 135 Exercises 3. Addition or subtraction: Round off, to the number of decimal places determined by the number with the least number of places beyond the decimal point. Example: 31.5+24.61 +3.28+1.19 +0.762 +0.003 = 61.345 1. 3.9 * 78.9= = 61.3 (correct result) 2. 32.01 +96.321 +36.98 +0.00023 +28.9= 3. 26.9/98 = 4. 421 0.003 =