3. the Area of a Room Is 16 M2. What Is the Area of the Room in Mm2?
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These practice problems have been gathered from many online sources. You should complete the ODD ones we didn’t get to in class today.
1. A braggart tells you that he walks 100,000 cm each day. He expects you to be impressed with such a big number. Should you be impressed? Convert the distance measurement to miles in order to determine whether or not to be impressed. (HINT: Earlier in this module, you were told how many inches are in a foot and how many feet are in a mile. You must use those numbers to solve this problem.)
2. How many cm3 are in 0.0045 kL?
3. The area of a room is 16 m2. What is the area of the room in mm2?
4. Convert 67 g/cm3 to kg/m3.
5. Convert 18.8 m/s to cm/s
6. Convert 143 km/hr to m/s.
7. How many millimeters are present in 20.0 inches? 8. The volume of a wooden block is 6.30 in3. This is equivalent to how many cubic centimeters?
9. (Extra credit-type of question) A sample of calcium nitrate, Ca(NO3)2, with a formula weight of 164 g/mol, has 5.00 x 1027 atoms of oxygen. How many kilograms of
Ca(NO3)2 are present? [Hey, if you can get this one . . . you’re pretty bright!]
10. A typical atom has a diameter of about 1.0 x 10-10 m. What is this in inches?
11. A lightyear is the distance light (speed = 2.998 x 108 m/s) travels in 1 year. How many meters are in 1.00 lightyears?
12. An astronomical unit (AU) is the average distance from the sun to the earth, 1.50 x 108 km. How many AU are there in 1.00 lightyears?
13. How many seconds are in 1.0 year?
14. How many years are in 1.0 seconds?
15. If it takes 250 picograms (1 picometer = 1 x 10-12 m) of a certain chemical to poison one drug dealer, how many dealers can you make sick with one gram of the chemical? 16. Horses are to race over a certain English meadow for a distance of 4.0 furlongs. What is the race distance in
a. Rods?
b. Chains?
(1 furlong = 201.168 m, 1 rod = 5.0292 m, 1 chain = 20.117 m)
17. Harvard Bridge, which connects MIT with its fraternities across the Charles River, has a length of 364.4 Smoots plus one ear. The unit of one Smoot is based on the length of Oliver Reed Smoot, Jr., class of 1962, who was carried or dragged length by length across the bridge so that other pledge members of the Lambda Chi Alpha fraternity could mark off (with paint) 1-Smoot lengths along the bridge. The marks have been repainted biannually by fraternity pledges sicnece the initial measurement, dusually during times of traffic,so that the police cannot easily interfere. (Presumably the police were originally upset because the Smoot is not an SI base unit, but these days they seem to have accepted the unit.) The bridge has also been measured in units of Zeldas and Tonys. Knowing that 212 Smoots = 258 Tonys = 216 Zeldas, what is the length of the bridge in
a. Zeldas?
b. Tonys?
18. Hydraulic engineers in the US 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? (1 acre-foot = 1234 m3) 19. A cord is a volume of cut wood equal to a stack 8 f. long, 4 ft. wide, and 4 ft. high. How many cords are in 1.0 m3?
20.A person on a diet might lose 2.3 kg per week. Express this mass loss rate in milligrams per second, as if the dieter could sense the second-by-second loss.
21. You are to fix dinners for 400 people at a relative’s wedding. The families are great fans of spicy food. Your recipe calls for 2 jalapeno peppers per serving (one serving per person). However, you have only habanero peppers on hand. The spiciness of peppers is measured in terms of the scoville heat unit (SHU). On average, one jalapeno pepper has a spiciness of 4000 SHU and one habanero pepper has a spiciness of 300,000 SHU. To get the desired spiciness, how many habanero peppers should you substitute for the jalapeno peppers in the recipe for the 400 dinners?
22. A carat is the mass unit used for diamonds and other gemstones. 1 carat = 200 mg. If a 1.0 carat diamond costs $2,000, what is the cost of diamond per pound (note: the pound is really not a mass unit, but . . . . on Earth 1 lb = 0.4536 kg)