General PhysicsPhysical Units and also ConversionsProblems1) A woman as soon as made it through a fall of over six miles without a parachute once her airplane exploded. Suppose a hapless individual is falling from a elevation of 5 miles and 1320 yards. What is this distance in meters?2) A bicyclist in the Tour de France has actually a speed of 31.6 miles per hour (mi/h) on a flat section of the road. What is this rate in (a) kilometers per hour (km/h), and also (b) meters per second (m/s)?3) Azelastine hydrochloride is an antihistamine nasal spray. A traditional dimension container holds one fluid ounce (oz.) of the liquid. You are trying to find this medication in a European drugsave and also are asked exactly how many milliliters (mL) tright here are in one fluid ounce. Using the complying with conversion factors, determine the number of milliliters in a volume of 1.25 fluid ounces: 1 gallon (gal) = 128 oz., 3.785 x 10-3 cubic meters (m3) = 1 gal, 1 liter = 10-3 m3.4) The adhering to are dimensions of various physical parameters. Here , , and also denote, respectively, dimensions of length, time, and mass. Distance (x) Time (t) Mass (m) Speed (v) / Acceleration (a) /2Force (F) /2Energy (E) 2/2Which of the adhering to equations are dimensionally correct?(Indicate one or even more options.)F = max = (1/2)at2E = (1/2)mv2E = max2v = sqrt(2Fx/m)5) The depth of the sea is sometimes measured in fathoms (1 fathom = 6 feet). Distance on the surconfront of the sea is occasionally measured in nautical miles (1 nautical mile = 6076 feet). The water beneath a surface rectangle 1.7 nautical miles by 2.1 nautical miles has actually a depth of 19 fathoms. Find the volume of water (in cubic meters) beneath this rectangle.6) You are driving right into St. Louis, Missouri, and also in the distance you see the well known Gateway-to-the-West arch. This monument rises to a elevation of 192 m. You estimate your line of sight with the peak of the arch to be 2.37 ° above the horizontal. Approximately exactly how far (in kilometers) are you from the base of the arch?7) The gondola ski lift at a ski resort has actually a cable which is 2600 m lengthy. On average, the ski lift rises 21° over the horizontal. How high is the optimal of the ski lift relative to the base? Assume the cable does not sag.8) A highmeans is to be built in between 2 towns, one of which lies 36.0 kilometres eastern and also 42.0 km north of the various other. (a) What is the shortest length of highway that have the right to be built in between the 2 communities, and also (b) at what angle would certainly this highmethod be directed, as a positive angle with respect to due east?9) The illustration shows sodium and also chlorine ions positioned at the corners of a cube that is component of the crystal framework of sodium chloride (prevalent table salt). The edge of the cube is 0.281 nm (1 nm = 1 nanometer = 10–9 m) in size. (a) Find the distance (in nanometers) in between the sodium ion located at one edge of the cube and also the chloride ion located on the diagonal at the oppowebsite corner. (b)What is the value of the angle in the drawing shown?
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