NexGen Science & Business Academy



1. Measurement homework problems (Phys. Science)InstructionsName and date submitted (3 pts): Create space in the Word document below, and write or type your answers. Turn in your completed work as an email attachment. (12 questions, 100 points possible)Metric System: state the basic unit(s) of measurement for each of the followingDistance:Mass:Volume:Time: Imperial System (U.S. system): state the basic unit(s) of measurement for each of the followingDistance:Mass:Volume:Time:The wind turbine in the picture has three blades. Each blade is 50 feet long. How long is each blade in meters? Report your answer to the “hundredths” place, like this… “X.XX meters” (Hint: between 12.00 and 18.00 m)What is the swept (circular) area of all three blades, in square meters. Hint: the area of a circle is equal to πr2. Report your answer to the “hundredths” place, like this… “X.XX m2”(Hint: between 500.00 and 1,000.00 m2)Each of the three blades is 50 feet long, as stated above. If you need a minimum clearance of 40 feet between the tip of a downward-pointing blade and the ground (for wind optimization), how high off the ground in meters must the “hub” be situated? In other words, the question is asking you how tall in meters the tower must be, in order to provide at least 40-ft of clearance between any tip and the ground. Report your answer to the “hundredths” place, like this… “X.XX meters” (Hint: between 25.00 and 30.00 m)right11430Hoover Dam (see photo) was built on the Colorado River in the 1930’s to generate hydroelectric power. There are turbine-generators located inside the concrete dam structure which utilize the flow of water to generate electricity. The volume of water in Lake Mead (created by the dam) is listed in “Table 1” in units of million cubic meters, or m3 x 106. Convert the water volume to liters. Convert the water volume to gallons. (Hint: starts with “943…”)right15240Density: the formula for Density can be written as D = m/V (density = mass ÷ volume). Therefore, the units of ‘Density’ can be expressed as (choose the best answer…)grams/literkg/litermg/milliliterA & B onlyA & B & CNone of the aboveBricks have a density of approximately 2000 kg/m3. Air has a density of 1 kg/m3. Which of the following has the lowest mass?2m3 of bricks4m3 of bricks6,000m3 of air10,000m3 of airA cereal box has a mass of 500 g. Its dimensions are 30cm X 20cm X 6cm. SHOW ALL YOUR WORK BELOW. What is the volume of the box in cubic cm (cm3)?What is its density in grams per cubic cm (g/cm3)?What is the area of the front side of the box – the ‘Rice Krispies’ side – in square cm (cm2)? Questions 6-10: Measuring, Metric System, and Unit Conversions10 m is equal to100 cm1,000 cm10,000 mmBoth ‘b’ and ‘c’The earth is approximately 150,000,000 km from the sun. Convert this into scientific notation150 x 108 km1.5 x 106 km1.5 x 108 km1.5 x 10-8 kmPick any room in your home. Measure the length, width, and height in meters (ask your parents for help with this). Then calculate the volume of the room in cubic meters (m3). Carry your final answer out to the tenths digit, for example 100.5 m3 or 200.1 m3. SHOW ALL WORK. Length in m = Width in m = Height in m = Volume in m3 = One cubic meter (1 m3) is equivalent to 264 gallons. Putting it another way, 264 gals. of water will ‘fit’ in a 1 m3 space. Using the volume in m3 you calculated for the room above, how many gallons of water would fit in the room? Show your work. Carry your answer to the nearest whole number of gallons. In Raiders of the Lost Ark, Indiana Jones tries to remove a gold idol from a booby-trapped pedestal. He replaces the idol with a bag of sand of approximately the same volume. (Density of gold = 19 g/cm3; density of sand = 2 g/cm3)Did he have a reasonable chance of not activating the booby trap? Explain, using the information given. Be specific. In a later scene, he and another character play catch with the gold idol. Assume that the idol is about 1.0 L. If it were solid gold, what mass would the idol have? (hint: there are 1,000 cm3 in 1 L). SHOW ALL CALCULATIONS. Be sure to check your answer for reasonableness! Is playing catch with it possible? Elaborate. ................
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