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Chapter 1: Q46P (page 11)
A unit of area often used in measuring land areas is the hectare, defined as. An open-pit coal mine consumeshectares of land, down to a depth of , each year. What volume of earth, in cubic kilometers, is removed in this time?
The volume of earth removed is .
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Question: Three digital clocks A, B, and C run at different rates and do not have simultaneous readings of zero. Figure 1-6 shows simultaneous readings on pairs of the clocks for four occasions. (At the earliest occasion, for example, B reads 25.0 s and C reads 92.0 s.) If two events are 600 s apart on clock A, how far apart are they on (a) clock B and (b) clock C? (c) When clock A reads 400 s, what does clock B read? (d) When clock C reads 15.0 s, what does clock B read? (Assume negative readings for prezero times.)
Figure 1-6Problem 13
Question: A particle moves along a straight path through displacement while force acts on it. (Other forces also act on the particle.) What is the value of c if the work done by on the particle is (a) zero, (b) positive, and (c) negative?
A ton is a measure of volume frequently used in shipping, but that use requires some care because there are at least three types of tons: A displacement ton is equal to 7 barrels bulk, a freight ton is equal to 8 barrels bulk, and a register ton is equal to 20 barrels bulk. A barrel bulk is another measure of volume: . Suppose you spot a shipping order for 鈥�73 tons鈥� ofcandies, and you are certain that the client who sent the order intended 鈥渢on鈥� to refer to volume (instead of weight or mass, as discussed in Chapter 5). If the client actually meant displacement tons, how many extra U.S. bushels of the candies will you erroneously ship if you interpret the order as (a) 73 freight tons and (b) 73 register tons? (U.S. bushels.)
Strangely, the wine for a large wedding reception is to be served in a stunning cut-glass receptacle with the interior dimensions of (height). The receptacle is to be initially filled to the top. The wine can be purchased in bottles of the sizes given in the following table. Purchasing a larger bottle instead of multiple smaller bottles decreases the overall cost of the wine. To minimize the cost, (a) which bottle sizes should be purchased and how many of each should be purchased and, once the receptacle is filled, how much wine is left over in terms of (b) standard bottles and (c) liters?
1 standard bottle
1 magnum = 2 standard bottles
1 jeroboam = 4 standard bottles
1 rehoboam = 6 standard bottles
1 methuselah = 8 standard bottles
1 salmanazar = 12 standard bottles
1 balthazar = 16 standard bottles = 11.356 L
1 nebuchadnezzar =20 standard bottles
A projectile is shot directly away from Earth鈥檚 surface.Neglect the rotation of Earth. What multiple of Earth鈥檚 radius gives the radial distance a projectile reaches if (a) its initial speed is of the escape speed from Earth and(b) its initial kinetic energy is of the kinetic energy required to escape Earth?(c)What is the least initial mechanical energy required at launch if the projectile is to escape Earth?
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