cap1en giancoli marzo 21, 2021 68. One mole of atoms consists of 6.02 X10^23 individual atoms. If a mole of atoms were spread uniformly over the surface of the Earth, how many atoms would there be per square meter?
cap1en giancoli marzo 21, 2021 67. To the correct number of significant figures, use the information inside the front cover of this book to determine the ratio of (a) the surface area of Earth compared to the surface area of the Moon; (b) the volume of Earth compared to the volume of the Moon.
cap1en giancoli marzo 21, 2021 66. The density of an object is defined as its mass divided by its volume. Suppose the mass and volume of a rock are measured to be 8 g and 2.8325 cm3. To the correct number of significant figures, determine the rock’s density.
cap1en giancoli marzo 21, 2021 62. If you began walking along one of Earth’s lines of longitude and walked north until you had changed latitude by 1 minute of arc (there are 60 minutes per degree), how far would you have walked (in miles)? This distance is called a “nautical mile.”
cap1en giancoli marzo 21, 2021 60. The diameter of the Moon is 3480 km. What is the volume of the Moon? How many Moons would be needed to create a volume equal to that of Earth?
cap1en giancoli marzo 21, 2021 59. An angstrom (symbol A ) is a unit of length, defined as 10^-10 m, which is on the order of the diameter of an atom, (a) How many nanometers are in 1.0 angstrom? (b) How many femtometers or fermis (the common unit of length in nuclear physics) are in 1.0 angstrom? (c) How many angstroms are in 1.0 m? (d) How many angstroms are in 1.0 light-year (see Problem 21)?
cap1en giancoli marzo 21, 2021 55. Estimate how many days it would take to walk around the world, assuming 10 h walking per day at 4 km/h.
cap1en giancoli marzo 21, 2021 54. Noah’s ark was ordered to be 300 cubits long, 50 cubits wide, and 30 cubits high. The cubit was a unit of measure equal to the length of a human forearm, elbow to the tip of the longest finger. Express the dimensions of Noah’s ark in meters, and estimate its volume (m3).
cap1en giancoli marzo 21, 2021 53. A heavy rainstorm dumps 1.0 cm of rain on a city 5 km wide and 8 km long in a 2-h period. How many metric tons (l metric ton = 10^3 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?
cap1en giancoli marzo 21, 2021 51. A certain audio compact disc (CD) contains 783.216 megabytes of digital information. Each byte consists of exactly 8 bits. When played, a CD player reads the CD’s digital information at a constant rate of 1.4 megabits per second. How many minutes does it take the player to read the entire CD?
cap1en giancoli marzo 21, 2021 47. An average family of four uses roughly 1200 L (about 300 gallons) of water per day (l L = 1000 cm3). How much depth would a lake lose per year if it uniformly covered an area of 50 km2 and supplied a local town with a population of 40,000 people?
cap1en giancoli marzo 21, 2021 44. One hectare is defined as 1.000 X 10^4m2. One acre is 4.356 X10^4 ft2. How many acres are in one hectare?
cap1en giancoli marzo 21, 2021 42. American football uses a field that is 100 yd long, whereas a regulation soccer field is 100 m long. Which field is longer, and by how much (give yards, meters, and percent)?
cap1en giancoli marzo 21, 2021 41. a) How many seconds are there in 1.00 year? (b) How many nanoseconds are there in 1.00 year? (c) How many years are there in 1.00 second?
cap1en giancoli marzo 21, 2021 40. Computer chips (Fig. 1-13) etched on circular silicon wafers of thickness 0.300 mm are sliced from a solid cylindrical silicon crystal of length 25 cm. If each wafer can hold 100 chips, what is the maximum number of chips that can be produced from one entire cylinder?
cap1en giancoli marzo 19, 2021 38. (II) Show that the following combination of the three fundamental constants of nature that we used in Example 1-10 (that is G, c, and h ) forms a quantity with the dimensions of time:
cap1en giancoli marzo 18, 2021 36. (II) The speed v of an object is given by the equation v = A t^3 — Bt, where t refers to time, (a) What are the dimensions of A and 5? (b) What are the SI units for the constants A and 5?
cap1en giancoli marzo 18, 2021 25. (II) Estimate how many books can be shelved in a college library with 3500 m2 of floor space. Assume 8 shelves high, having books on both sides, with corridors 1.5 m wide. Assume books are about the size of this one, on average.
cap1en giancoli marzo 18, 2021 24. (I) Estimate the order of magnitude (power of ten) of: (a) 2800, (b) 86.30 X 10^2, (c) 0.0076, and (d) 15.0 X 10^8.
cap1en giancoli marzo 18, 2021 23. (Ill) The diameter of the Moon is 3480 km. (a) What is the surface area of the Moon? (b) How many times larger is the surface area of the Earth?