91影视

In the United States, a doll house has the scale of $\mathbf{1}\mathbf{:}\mathbf{12}$of a real house (that is, each length of the doll house is $\frac{\mathbf{1}}{\mathbf{12}}$that of the real house) and a miniature house (a doll house to fit within a doll house) has the scale of $\mathbf{1}\mathbf{:}\mathbf{144}$of a real house. Suppose a real house (Fig. 1-7) has a front length of 20 m, a depth of 12 m, a height of 6.0 m, and a standard sloped roof (vertical triangular faces on the ends) of height 3.0 m. In cubic meters, what are the volumes of the corresponding (a) doll house and (b) miniature house?

Figure 1-7 Problem 32

Question: At time t=0 , a 3.00 kg particle with velocity$\mathit{v}\mathbf{=}\left(5.0\text{m/s}\right)\widehat{\mathbf{\text{i}}}\mathbf{-}\left(6.0\text{m/s}\right)\widehat{\mathbf{\text{j}}}$ is at x =3.0 m and y= 8.0m. It pulled by a 7.0 N force in the negative xdirection. About the origin, what are (a) the particle鈥檚 angular momentum, (b) the torque acting on the particle, and (c) the rate at which the angular momentum is changing?

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: $\mathbf{1}\mathbf{}\mathbf{barrel}\mathbf{}\mathbf{bulk}\mathbf{}\mathbf{=}\mathbf{}\mathbf{0}\mathbf{.}\mathbf{1415}\mathbf{}{\mathbf{m}}^{\mathbf{3}}$. Suppose you spot a shipping order for 鈥�73 tons鈥� of$\mathbf{M}\mathbf{\&}\mathbf{M}$candies, 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? ($\mathbf{1}{\mathbf{m}}^{\mathbf{3}}\mathbf{=}\mathbf{28}\mathbf{.}\mathbf{378}$U.S. bushels.)

Make a nuclidic chart similar to Fig. 42-6 for the 25 nuclides ${\mathbf{}}^{\mathbf{118}\mathbf{-}\mathbf{122}}\mathbf{Te}\mathbf{,}{\mathbf{}}^{\mathbf{117}\mathbf{-}\mathbf{121}}\mathbf{Sb}\mathbf{,}{\mathbf{}}^{\mathbf{116}\mathbf{-}\mathbf{120}}\mathbf{Sn}\mathbf{,}\mathbf{}\mathbf{}{\mathbf{}}^{\mathbf{115}\mathbf{-}\mathbf{119}}\mathbf{In}\mathbf{}\mathbf{and}\mathbf{}{\mathbf{}}^{\mathbf{114}\mathbf{-}\mathbf{118}}\mathbf{Cd}$. Draw in and label (a) all isobaric (constant A) lines and (b) all lines of constant neutron excess, defined as N - Z.

Two types of barrel units were in use in the 1920s in the United States. The apple barrel had a legally set volume of 7056 cubic inches; the cranberry barrel, 5826 cubic inches. If a merchant sells 20 cranberry barrels of goods to a customer who thinks he is receiving apple barrels, what is the discrepancy in the shipment volume in liters?

A boy is initially seated on the top of a hemispherical ice mound of radiusR = 13.8 m. He begins to slide down the ice, with a negligible initial speed (Figure). Approximate the ice as being frictionless. At what height does the boy lose contact with the ice?

An old English children鈥檚 rhyme states, 鈥淟ittle Miss Muffet sat on a tuffet, eating her curds and whey, when along came a spiders who sat down beside her. . . .鈥� The spider sat down not because of the curds and whey but because Miss Muffet had a stash of 11 tuffets of dried flies. The volume measure of a tuffet is given by 1 tuffet ${}^{\mathbf{=}}$2 pecks ${}^{\mathbf{=}}$0.50 Imperial bushel, where 1 Imperial bushel ${}^{\mathbf{=}}$36.3687 liters (L). What was Miss Muffet鈥檚 stash in (a) pecks, (b) Imperial bushels, and (c) liters?

A car moves along an x axis through a distance of900 m, starting at rest (at $\mathit{x}\mathbf{}\mathbf{=}\mathbf{}\mathbf{0}$) and ending at rest (at $\mathit{x}\mathbf{}\mathbf{=}\mathbf{}\mathbf{900}\mathbf{}\mathbf{m}$). Through the first $\frac{\mathbf{1}}{\mathbf{4}}$of that distance, its acceleration is $\mathbf{+}\mathbf{2}\mathbf{.}\mathbf{25}\mathbf{}\mathbf{m}\mathbf{/}{\mathbf{s}}^{\mathbf{2}}$. Through the rest of that distance, its acceleration is $\mathbf{-}\mathbf{0}\mathbf{.}\mathbf{750}\mathbf{}\mathbf{m}\mathbf{/}{\mathbf{s}}^{\mathbf{2}}$. What are (a) its travel time through 900 m. (b) its maximum speed? (c) Graph position x, velocity v and acceleration a versus time t for the trip.

Table 1-7 shows some old measures of liquid volume. To complete the table, what numbers (to three significant figures) should be entered in (a) the wey column, (b) the chaldron column, (c) the bag column, (d) the pottle column, and (e) the gill column, starting from the top down? (f) The volume of 1 bag is equal to 0.1091 m3. If an old story has a witch cooking up some vile liquid in a cauldron of volume 1.5 chaldrons, what is the volume in cubic meters?

A typical sugar cube has an edge length of 1 cm. If you had a cubical box that contained a mole of sugar cubes, what would its edge length be? (${}^{\mathbf{One}\mathbf{}\mathbf{mole}\mathbf{=}\mathbf{6}\mathbf{.}\mathbf{02}\mathbf{脳}{\mathbf{10}}^{\mathbf{23}\mathbf{}\mathbf{units}}}$.)