33. If you are at the top of a tower of height h above the surface of the earth, show that the distance you can see along the surface of the earth is approximately s = v2Rh, where R is the radius of the earth. Hints: See figure. Show that h/R = sec 0 – 1; find two terms of the series for sec 0 = 1/ cos 0, and use s = RO. _Thus show that the distance in miles is approximately v3h/2 with h in feet. Rİ

33. If you are at the top of a tower of height h above the surface of the earth, show that the distance you can see along the surface of the earth is approximately s = v2Rh, where R is the radius of the earth. Hints: See figure. Show that h/R = sec 0 – 1; find two terms of the series for sec 0 = 1/ cos 0, and use s = RO. _Thus show that the distance in miles is approximately v3h/2 with h in feet. Rİ

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

Earth is approximately a sphere of radius 6.37 × 106 m. What are (a) its circumference, (b) its surface area, and (c) its volume?
Apps M Inbox (1,175) - hayl.. Need Help? Read It PRACTICE ANOTHE MY NOTES ASK YOUR TEACHER SERCP11 1.9.P.056. DETAILS PREVIOUS ANSWERS 5. [3.34/5 Points] An airplane flies 200 km due west from city A to city B and then 240 km in the direction of 24.0° north of west from city B to city C. (a) In straight-line distance, how far is city C from city A? 446.65 km (b) Relative to city A, in what direction is city C? Your response differs from the correct answer by more than 10%. Double check your calculations.° north of west (c) Why is the answer only approximately correct? Need Help? Read It Submit Answer 6:03 PM P Type here to search DLL 2/7/2022 DELL esc Fn DII F1 F2 F3 prt sc home F4 F5 end insert F6 F7 F8 F9 delete F10 F11 F12
econds squared, Ol 72. n divide out and T = VT². The factor 2T has no units so a in the analysis. 10. The period of rotation of the Sun is 2.125 x 10° seconds. This is equivalent to 2.125 (3) Ms (1) us (2) ms (4) Ts 11. Human hair grows at the rate of 3 nanometers per second. This rate is equivalent to (1) 3 x 10-3 m/s (2) 3 x 10-6 m/s (3) 3 x 10-9 m/s (4) 3 x 10-12 m/s 12. The wavelength of red light is 7 x 10-7 meter. Express this value in nanometers. 13. If m represents mass in kg, v represents speed in m/s, and r represents radius in m, show that the force F in the formula F = in the unit kg m/s?. mv? can be expressed 14. If PE, represents the potential energy stored in a spring in kg m2/s², and x represents the change in spring length from its equilibrium position in m, what is the unit for the spring constant k in the formula PE, = }kx?
A jet airplane reaches 812./kmh on a certain flight. What distance does it cover in 5.0min? Set the math up. But don't do any of it. Just leave your answer as a math expression. Also, be sure your answer includes all the correct unit symbols. distance=
Assume the radius of the earth is 3960 miles. 1) A point ? on the surface of the earth is 1500 miles north of the point on the equator closest to it. Find the latitude of the point ? in degree measurement.
Write the correct numerals for the following situations: Example: You have two decimeters, and one meter (in meters) = 1.2m a. You have two kilograms, four decagrams, and three grams (in grams) b. You have three hectoliters, two centiliters, and one microliter (in liters) c. You have three centimeters, two decimeters, and one millimeter (in meters) d. You have one kilogram, three decagrams, and two decigrams (in grams) e. You have four kilocalories and six Calories (in calories)
Run up a flight of stairs as fast as you can, measure the time it takes and the height of one stair, and count the number of stairs. If you don't know your weight, measure that too. These measurements need not have three significant digits, but the calculated values do. Recall that 1 inch is about 2.54 centimeters, and 2.2 pounds is the weight of about 1 kg of mass.weight = 148.5 poundstime = 1.66 sheight of one stair = 18.5 cm, number of stairs = 12a. What is your power while running up stairs? Include units in your answer. b. The human body has an efficiency of about 28 percent. If you could maintain this stair-climbing pace around the clock, you could consume how many calories of food energy each day and not gain weight? (1 food calorie = 4186 joules)
When you use a micrometer to measure the diameter of a rod, you obtained a reading 5.17 mm. If you know the zero offset of the micrometer is -1 micrometer, what is the actual diameter (in unit of mm) of the rod?
I am having trouble determining the final answer, as something is missing in how to convert the inverse of a sin, say, 866. converted to .866. Please show in steps
The length of cell A is 9×10^6 m. The length of cell B is 0.0000003 m. What is the ratio of cell A's length to cell B's length? Use pencil and paper. Is it easier to find the ratio when the numbers are expressed in scientific notation or in standard form? Explain your reasoning.
Which one of the choices below represents the preferred practice regarding significant figures when multiplying the following: 15.0 x 5.6 x 2.33? Select one: а. 200 b. 196 O c. 195.720 O d. 195.72 e. 195.7
Given that 4.82803 kilometers (km) is approximately equal to 3 miles (mi): Part A: Express the kilometer to mile ratio as a unit ratio. Round to 5 decimal places.