At what distance from the Sun is the intensity of sunlight three times the value at the Earth? (The average Earth–Sun separation is 1.496 1011 m.) (8.64 1010 m)
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At what distance from the Sun is the intensity of sunlight three times the value at the Earth? (The
average Earth–Sun separation is 1.496 1011 m.) (8.64 1010 m)
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- An astronomical unit (AU) is equal to the average distance from Earth to the Sun, about 92.9 × 106 mi. A parsec (pc) is the distance at which a length of 1 AU would subtend an angle of exactly 1 second of arc (the figure). A light-year (ly) is the distance that light, traveling through a vacuum with a speed of 186000 mi/s, would cover in 1.0 year. Express the Earth–Sun distance in (a) parsecs and (b) light-years.An aerial photograph from a U-2 spy plane is taken of a building suspected of housing nuclear warheads. When the photograph is taken, the angle of elevation of the sun is 43 degrees. By comparing the shadow cast by the building in question to the shadows of other objects of known size in the photograph, scientists determine that the shadow of the building in question is 64 feet long. How tall is the bulding? (Round your answer to two decimal places.)A group of hikers uses a GPS while doing a 40-mile trek in Colorado. A curve fit to the data shows that their altitude can be approximated by the function y(t)=0.12t5−6.75t4+135t3−1120t2+3200t+9060 where y and t are expressed in feet and hours, respectively. During the 18-hour hike, determine the maximum altitude that the hikers reach.
- A high tech company uses a satellite to measure the size of features on the surface of the earth. They use this technology to measure a particular rectangular field and find it's length to be 444 ± 1.8 in meters and it's width to be 198 ± 1.63 in meters. They plan to report the perimeter (sum of two lengths and two widths) of the field as P± SP in units of yards. (1 meter = 1.094 yards) What is SP?(a) Taking A = (6.00 î – 8.00 j) units, B = (-8,00 Î + 3.00 j) units, and C = (26.0 î + 19.0 ĵ) units, determine a and b such that a à + b B + T = 0. (b) A student has learned that a single equation cannot be Figure P22 solved to determine values for more than one unknown in it. How would you explain to him that both a and b can be determined from the single equation used in part (a)?How long does it take light to travel three times around the circumference of Earth? The radius of Earth is 6371.0 km and the speed of light is 2.998×105 km s−1.
- An astronomical unit (AU) is equal to the distance from Earth to the Sun, about 149.6 million km. A Parsec (pc) is the distance at which a length of 1 AU would subtend an angle θ of exactly 1-second of an arc. A light-year (Ly) is the distance that light, traveling through a vacuum with a speed of 3.0 x 108 m/s, would cover in 1 year (365 days). Express the Earth-Sun distance in: a) Parsec (pc) units. b) Light-year (Ly) units.The speed of light is c = 3.0 x 10^8 m/s. If the distance between the Earth and the moon is d = 2.39 x 10^5 mi (1.0 mi = 1.61 km). You send a laser from the Earth to the moon and back. How long does this take?Let À = 3.92i + 4.41j and B = -3.02i + -2.43j. What is the angle between À and B measured in degrees. Note that the angle may be greater than 90 degrees. (I understand the basic steps of the question but I keep getting 115.432. My last step was Cos^-1(2.9/22.588)
- The amount of energy collected by a solar panel depends on the intensity of the sun's rays and the area of the panel. Let the vector I represent the intensity, in watts per square centimeter, having the direction of the sun's rays. Let the vector A represent the area, in square centimeters, whose direction is the orientation of a solar panel. See the figure. The total number of watts collected by the panel is given by W=11 Al. Suppose that I = (-0.04,-0.03) and A = (450,600). (a) Find 1 and ||A||, and interpret the meaning of each. (b) Compute W and interpret its meaning. (c) If the solar panel is to collect the maximum number of watts, what must be true about I and A? (a) Find and interpret the meaning of ||||. Select the correct choice below and fill in the answer box to complete your choice. W/cm², represents the direction of the intensity of the sun's rays. W/cm², represents the magnitude of the intensity of the sun's rays. (Type an integer or decimal rounded to three decimal…The solar power per unit area at the Earth's distance from the sun--called the "solar constant"--is 1.36 kW/m^2. If a solar power station in a sunny location uses 20%-efficient solar panels, what area of panels is required to replace a 1.0 GW power plant at noon. Express the answer in square kilometers. 3676The speed of light is 2.998 × 108 m/s. One light-year is the distance that light travels in one year. One Astronomical Unit (AU) is 1.50 × 108 km. (a) How many meters are in 1.0 light-year? (b) How many meters are in 1.000 light-year? (c) How many AU are in 1.00 light-year? (d) What is the speed of light in AU/h?