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A heavy rainstorm dumps 1.0 cm of rain on a city 5 on wide and 6 km long in a 2-h period. How many metric tons of water fell on the city?
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- Hydraulic engineers in the United States often use, as a unit of volume of water, the acre-foot, defined as the volume of water that will cover 1 acre of land to a depth of 1 ft. A severe thunderstorm dumped 2.0 in. of rain in 30 min on a town of area 26 km2.What volume of water, in acre-feet, fell on the town?(a) What is the volume (in km3 ) of Avogadro’s number of sand grains if each grain is a cube and has sides that are 1.0 mm long? (b) How many kilometers of beaches in length would this cover if the beach averages 100 m in width and 10.0 m in depth? Neglect air spaces between grains.during heavy rain, a section of a mountainside measuring 3.1 km wide horizontally, 1.1 km up along the slope, and 2.3 m deep slips into a valley in a mud slide. Assume that the mud ends up uniformly distributed over a surface area of the valley measuring 1.5 km x 1.5 km and that the mass of a cubic meter of mud is 1900 kg. What is the mass of the mud sitting above a 4.6 m2 area of the valley floor?
- Hydraulic engineers in the United States often use, as a units of volume of water, the acre-foot, defined as the volume of water that will cover 1 acre (where 1 acre = 43560 ft2) of land to a depth of 1 ft. A severe thunderstorm dumped 2.9 in. of rain in 30 min on a town of area 36 km2. What volume of water, in acre-feet, fell on the town?Physics An average family of four uses roughly 1200 L (about 300 gallons) of water per day ( 1 L = 1000 cm³). How much depth would a lake lose per year if it uniformly covered an area of 20 km² and supplied a local town with a population of 50000 people? Consider only population uses, and neglect evaporation and so on. Express your answer using one significant figure. d= 195| ΑΣΦ ? cm/ythe average density of an atom is approximately 103 kg/m3. The nucleus of an atom has a radius about 10-5 times that of the entire atom, and contains nearly all the mass of the atom. What is the approximate density, in kilograms per cubic meter, of a nucleus?
- Paperweight I bought a pack of 100 rectangular index cards. Each card measured 15 by 10 cm. The pack said :Paper Density = 200 GSM (grams per square meter). This means that a square meter of those cards weighs 200 g. A) All of the cards in the pack are place flat on a table without overlap. In square meters, what is the total area of the table covered by the cards? B) Each pack of cards is wrapped in a sheet of 50 GSM paper with an area of 800cm squared. I have a number of packs and wish to store them on a shelf that cannot hold more than 10 kg. What is the largest whole number of wrapped packs that can be stored? C) The total weight of 500 identical sheets of paper is 2.4kg. If each sheet measures 30cm by 20cm, what is its paper density in GSM? D) A business card measures 55mm by 90mm. Its paper density is 300 GSM. Fins its exact weight in grams.A storm dumps 1.0 cm of rain on a city 6 km wide and 8 km long in a 2-h period. How many metric tons (1 metric ton = 103 kg) of water fell on the city? (1 cm3 of water has a mass of 1 g = 10–3 kg.) How many gallons of water was this?Suppose 1.0 m³ of oil is spilled into the ocean. Find the area of the resulting slick, assuming that it is one molecule thick and that each molecule occupies a cube 0.50 µm on a side.
- a) What is the volume (in km3) of Avogadro's number of sand grains if each grain is a cube and has sides that are 1.5 mm long? km3 (b) How many kilometers of beaches in length would this cover if the beach averages 111 m in width and 12.6 m in depth? Neglect air spaces between grains. kmThe density of bubble gum is about 1g/cm3. You blow an 8g wad of gum into a bubble 9cm in diameter. What is the thickness of the bubble? Use the equation: 4πr2 to help solve the problem.The common Eastern mole, a mammal, typically has a mass of 75 g, which corresponds to about 7.5 moles of atoms. (A mole of atoms is 6.02 * 1023 atoms.) In atomic mass units (u), what is the average mass of the atoms in the common Eastern mole?