Represent each of the following combinations of units in the correct SI form using an appropriate prefix: (a) m/ms (b) µkm (c) ks/mg (d) km: µN
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- You can easily convert common units and measures electronically, but you still should be able to use a conversion table, such as those in Appendix D. The Table below is part of a conversion table for a system of volume measures once common in Spain; a volume of 1 fanega is equivalent to 55.501 dm³ (cubic decimeters). 1 cahiz = 1 fanega = 1 cuartilla = 1 almude = 1 medio = cahiz Numbor 1 ? fanega 12 1 2.08 × 10-2 6.94 x 10-3 8.33 × 10-² 3.47 x 10-3 4.17 x 10-2 ? cuartilla almude medio 48 4 1 ? 0.167 144 288 12 3 1 ? Unite 24 6 2 To complete the table, what numbers should be entered in (a) the cahiz column, (b) the fanega column, (c) the cuartilla column, and (d) the almude column? Express 13 almudes in (e) medios, (f) cahizes, and (g) cubic centimeters (cm³). And 1 cabizlerlThe length and width of a rectangular room are measured to be 3.885 ± 0.0065 m and 3.2 ± 0.0045 m. In this problem you can approximate the error on a product or quotient of quantities by the sum of the percent error on each quantity.Calculate the floor area of the room in square meters.For numeric entry in the Bb system the standard guidance applies: enter more digits than are signifi- cant in the answer field to ensure correct answers are marked as correct,convert to standard units if necessary unless otherwise stated but do not enter the unit in the answer field, if you choose to use scientific notation 2.0563 x 10-4 is entered as 2.0563E-4 (no spaces, the E must be capitalized). 1) Calculate the density of a block of unknown metal that has mass 234.00 g and is a cube that measures 9.000 cm on a side. 2) Calculate the volume of a 5.00 kg nugget of pure gold. 3) If the nugget in the previous problem were cast into a cube, what would the length of one of the sides be, measured in centimeters? 4) Calculate the mass of blood in the average human body, given the average volume of 5.0 L. 5) If a cylindrical rod of uranium is 25.00 cm long and has mass 9.874 kg, what is its radius?
- The base of a pyramid covers an area of 12.8 acres (1 acre = 43,560 ft²) and has a height of 471 ft. If the volume of a pyramid is given by the expression V = bh/3, where b is the area of the base and h is the height, find the volume of this pyramid in cubic meters. m³ ⒸSylvain Grandadam/Photo Researchers, Inc.A) A pyramid has a height of 488 ft and its base covers an area of 10.0 acres. The volume of a pyramid is given by the expression: V=1/3Bh, where B is the area of the base and h is the height. Find the volume of the pyramid in cubic meters. (1 acre = 43,560ft^2). B) What If? If the height of the pyramid were increased to 525 ft and the height to base area ratio of the pyramid were kept constant, by what percentage would the volume of the pyramid increase?Convert the following measurements to metric units with power-of-ten prefixes. Do not use scientific or engineering notation. Numeric values must range from 1 to less than 1000. Metric prefixes, which are case-sensitive, must be one of the following: M, m, c, k, or µ. (You may use lower-case 'u' in place of 'p'.) Example: 2.00 × 105 m = 200 km Enter the numeric value in the first box, and enter the metric prefix in the second box. a. 3.51 x 10-5 L = b. 7.98 x 108 J = C. -0.000230 W = - W d. 11,200 K = K (note: upper-case 'K' is the abbreviation for the temperature unit 'kelvin')
- A study fonds that the metabolic rate of mamals is proportional to the mass of the mamal carried to the exponent of (3/4). By what factor does the metabolic rate of a 70.0 kg human exceed that of a 6.30 kg cat?\ 70.0 3/4 kg = 6.09 6.303/4 kg I set up the values as a ratio and came up with 6.09. OK, I answered my own question. That is the correct answer.The radius of a circle is measured to be (13.6 ± 0.3) m. Calculate each of the following and give the uncertainty in each value. (a) the area of the circle m² ± (b) the circumference of the circle m t m² mHow many significant figures are in the following numbers? (a) 100.0 ± 0.4(b) 4.000 ✕ 106(c) 4.20 ✕ 10-11(d) 0.0060
- 1.4 Units in equations Given that the following equation calculates position in meters (x) as a function of time in seconds (t): use dimensional analysis to determine the units of the coefficient "u". Xp = Xi + v¡t +,a,t? + 1 2.3/it3+ 2t4/3 2-3 4 2 3.4.54it + 3.7321 · w t3/2 Units of "u" arePlz give correct solution only. The amount of water in reservoirs is often measured in acre-ft. One acre-ft is a volume that covers an area of one acre to a depth of one foot. An acre is 43,560 ft2. Find the volume in SI units of a reservoir containing 75.0 acre-ft of water.