5. Calculate the arc length S1 in the accompanying figure. R2 = 8 cm, R1 = 3cm, and S2 = 15.20 cm. S2 - R1 R2-
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- PLEASE CIRCLE AND LABEL ANSWERS FRO A GOOD RATING THANK YOU.1. The diameter of the Earth is 12,740,000 meters. a. Determine the radius of Earth. [work] R= [answer] m b. The surface area of a sphere is A = 4r?. Assuming the Earth is a perfect sphere, what is the surface area of the Earth? [work] A= [answer] m² %3D1.The speed of light is 2.9979×108m/s Convert this speed to miles per second.Express your answer using three significant figures. 2.Suppose you measure the mass and volume of two solid stones. Stone 1 has a mass of 3.20×10−2kg3.20×10−2kg and a volume of 12.0 cm3cm3. Stone 2 has a mass of 2.00×10−2kg2.00×10−2kg and a volume of 7.50 cm3cm3. Determine the average mass density of the stone 1.Express your answer with the appropriate units. 3.
- 14. Why does Earth not see a lunar eclipse once a month?A. Wait . . . there is a lunar eclipse every month.B. the plane of the Moon’s orbit is tilted to the plane of Earth’s orbitC. the Sun, Earth, and Moon do not line up in this order once a monthD. Because I said so.1- MODIS is an Earth Observation sensor onboard TERRA spacecraft flying in a near-polar circular orbit with an orbital period of 98.8 minutes. The width of the swath imaged by MODIS is 2330 km. A- How many orbits does TERRA trace in one day? B- Assuming that the Earth rotates around its polar axis at a rate of 0.2618 rd/hr and that the equatorial radius is 6378 km, do two consecutive swaths of MODIS overlap at the equator? (hint: the length of an arc = angle in rd * radius) C- The radius of the latitude circle at 35 deg is 5224.5 km. Do two consecutive swaths of MODIS overlap at latitude 35 deg? 2- An aerostationary orbit for Mars is equivalent to a geostationary orbit for Earth. It is designed to enable a satellite in that orbit to image always the same surface of Mars. Calculate the altitude of an aerostationary orbit assuming that Mars is spherical, that its sidereal rotational period is 1.02595676 Earth days, its equatorial radius is 3389.50 km and its mass is…Of the following methods, which one can you use to directly calculate the peak altitude of the Sun in the sky on that day? a. by using the observer's watch and the Sun's azimuth b. by using the observer's latitude and the Sun's right ascension c. by using the observer's longitude and the ecliptic plane d. by using the observer's latitude and the Sun's declination e. by using the observer's altitude and the ecliptic plane
- 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.A car has a speed of 150 km/hour and an acceleration of 10100km/hour2a) Calculate its speed in mile/h?b) Calculate its acceleration in meters per square second.Note that 1 mile is 1.60934 km, and detailed calculations forchanging units should be provided.2. Find the smaller angle between A = 10ay + 2ax and B = -4ay+ 0.5az.
- What is the assumed diameter of the Earth? O 6,400mi 6,400km 12,800mi 12,800km JoyWhich of the following correctly describes A=90090 in scientific notation (with correct sig figs)? More than one answer MAY be correct. In these answers "E#" represents 10 raised to the power of #. 9.0090E5 None of the other answers is correct. 9.009E4 O 9.009E5 O 9.0090E3▶ Answer Exercise: Determining Arc Length in an Application PDF Transcript for Exercise: Determining Arc Length in an Application 32. Trenton, New Jersey (40.2°N, 74.8°W), is located north of the equator, and Ayacucho, Peru (13.2°S, 74.2°W), is located south of the equator. The longitudes are nearly the same, indicating that the cities are roughly due north-south of each other. Use the difference in latitude to approximate the distance between the cities. 83. A pulley is 16 cm in diameter.