94.17: A cork has weight mg and densiv0y/cud ddm1.w/epf x9c(5tc ty 25% of water density. A string is tied around the cork and attached to the bottom of a water-filled container. As shown in the accompanying fvm0wu.pdcdf c/51 xcyd/9 (etigure, the cork is totally immersed in the water. Expressed in terms of the cork weight mg, the tension in the string is:

  01.20: When submergec.b+avdv* xojc +*r4y dde hc c/,9m1i)qey(ad underwater, the apparent mass of one cubic centimeter of pure gold is 18.cc (.do+ea* cvchb y/mjyqidd) 4,9a+x1 *r ve3 grams. What would be its mass in air?

  04.29: Three fishing bobbers all individually fquxj1(tu m (g)loat on top of water. BobbersA and B have identical masses and densities but different shapes while bobbers B and C have identical sizes and shapes but bo1)xu quj(tg( mbber C has less mass and density than B. If three identical weights are then tied to the bobbers and all three are pulled completely beneath the surface of the water, which bobber will displace the greatest volume of water?

  01.18: Which of the following is the best statement of Pascal'sa vru o6x-2l/p Law?

  05.24: The hydraulic press, which allows large masses tola qe *bognj/( c2:8dz be lifted with small applied fo*( n:d/alq2bg8zeo c jrces, is a consequence of which principle?

  06.30: A copper block is connected to a string and sk 4wgilw4;v x,ozi2w 1ubmerged in a container of wvk1 wx4;i,i2w zowgl4ater.
Position 1: The copper is completely submerged, but just under the surface of the water.
Position 2: The copper is completely submerged, mid-way between the water surface and the bottom of the container.
Position 3: The copper is completely submerged, but just above the bottom surface of the container. Assume that the water is incompressible. What is the ranking of the buoyant forces (B) acting on the copper blocks for these positions, from least to greater?

  07.36: A driveway is 22.0 m long and 5.0 m wide. If the atnw+zquoaed 5qh8du9 - 2*k cw1mospheric pressure is nkz aw8e 2u-+od1q*d5hcq9uw $1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg obq6jcyrglb7p3,ras -oal9 n6p6n -js : ject floats at rest with 75% of the object submerged in a cubical rn-byaqll on67-69s63 s jarc pgj,p :tank containing $50.0 m^{3}$ of water. What is the buoyant force acting on the object?

  14.26: A solid cube ofqold/ obmox 8. .ljl1/6; eer*vuh1s e iron and a solid cube of aluminum have equal mass. The cubes areplaced into the same large pool of water so that each isl/ 1/uoo1m8l j eobe.eqshx;d. vr6*l completely submerged and resting on the pool’sbottom. Which object experiences the greater buoyant force from the water?

  12.21: A child’s balloon is filled with pure Xenon gas. This lron iuq,)t6x/ ka4q8 .x6 ycpballoon then is released from rest two meters above the ground./yqn 6a,ox4 k 8)rputlxq6ic on Earth. Which one of the following choices best describes the response of the balloon?

  16.23: At a party, two spherica m0isj 5o*c(;vm k7g z.wlw+peeh;f 5 qchfl(/l balloons are expanded to have the same radius. Balloon #1 is filled with helium gas while balloon #2 is fe5s 75zeci;/0w;jf(*qf+hmo w k (gmclhvl .pilled with xenon gas. Which one of the following statements about the buoyant forces on the balloons is correct?

  03.36: An ideal fluid flows through a long horizontal ujw-jb43e)r y circular pipe. In one regio3u rbjj-) w4yen of the pipe, it has radius R. The pipe then widens to radius 2R. What is the ratio of the fluid's speed in the region of radius R to the speed of the fluid in region with radius 2R?

  04.24: A fluid is forew e5 lk0ba -:;iuli*rced through a pipe of changing cross section as shown. In which section would the pressure of the fluid be a minimum l5a;- 0b l:w*eeruiki?

  07.35: Two objects labeled K and L have equal mass but densities 0.95D0 aj8qz 9g40 gvap u*4dm/wv4rb tnd D0, respectively. Each of these objects floats after being thrown into a deep swimming pool. Which is true abouwzva9*v484 d0m r p4u gb/qtjgt the buoyant forces acting on these objects?

  08.16: A block is connected to a light string attached to the bohnh dw,kw/7 +zttom of a large container of water. The n+w7/khdhz,w tension in the string is 3.0 N. The gravitational force from the earth on the block is 5.0N. What is the block’svolume?

  15.30: A spring scale reads 2.50N wnp5 j5 x2( ny4dqr,qbuhen a small solid mass hangs from it in air. The spring scale reads 1.58N when the mass at the end of the spring is completely submerged in a container of water. Which one of the following choices best represents the density of the sol qy(,unpb qnr2554 dxjid mass(unit: $kg/m^{3}$)?

  09.32: A cube of unknown material and uniform density rce gwt;g1 u 29w0uzeyd..0plfloats in a container of water wwz g;tw ul pge dy.e0c092.ru1ith 60% of its volume submerged. If this same cube were placed in a container of oil with density$ρ=800 kg/m^{3}$ , what portion of the cube’s volume would be submerged while floating?

  12.47: Water flows ideally through a cylivom:vx/x) 8clu (p6qindrically-shaped pipe. At the lower end, the pipe’s cross- vm6o i8x xvp:q )u/c(lsectional area is $ 30.0 cm^{2}$ whereas in the upper portion, the pipe’s cross-sectional area is $10.0cm^{2}$ and fluid is moving at 9.0 m/s. Which one of the following choices best represents the difference in pressure between the lower section of the pipe and the upper section if the vertical distance between the centers of the pipe sections is 2.0 m ?

  09.35: A piece of an ideal flu.p3jq yepr k(6id is marked as it moves along a horizontal streamline through a pipe, as shown in the figure. In yp qp.k er36(jRegion I, the speed of the fluid on the streamline is V. The cylindrical, horizontal pipe narrows so that the radius of the pipe in Region II is half of what it was in Region I. What is the speed of the marked fluid when it is in Region II?

  13.25: An ideal flui0oebxk8 qr2q* d completely fills a small horizontal tube that has a narrowing cross-sectional area as seen in the figure. Which one of the following choices best descri *exkbrqq0o2 8bes what has happened to the fluid’s speed and its associated pressure in the narrower region as compared to the wider region?

  10.47: An open cylindrical container with very lar2/9 ihbxubt5g ge radius is at rest a distance H above the ground at the edge of a pla2itx59 gub/bhtform. A tiny hole develops at the bottom of the container and water from the container squirts out horizontally landing a distance H from the edge of the platform. For the
water to land at this location, what is the depth of the water L in the container? The figure is not drawn to scale and air resistance is ignored.

  11.27: The density of a solid cub gvmb+4b j7r+ gtr6t*yic block is given as $ρ=0.750 g/cm^{3}$ . This block is dropped into a large swimming pool filled with water. When equilibrium is established and all motion stops, which choice best describes the location of the block? The block is very small in comparison to the pool.

  17.22: A large swimming pool is filled with a liquid havaz m yym-ff,n)kk. ::eing a density of $500kg/m^{3}$ . Aperson wants to see what happens if she jumps into the deep end of the pool (3.0 meters deep). Which one of the following choices correctly identifies what will happen to the person? Assume that the person does not try to move their arms or legs until discovering what happens after equilibrium is established.

  13.50: AU-tube is filled with mercury (density:h ycad)gt-e3 $13.6g/cm^{3}$) as shown in the left-most figure. Water of mass 800 grams is added to the left-hand side of the tube. When equilibrium is re-established, the tube appears as shown in the right-most figure. The cross-sectional area of the left tube is$ 6.5 cm^{2}$ while the right tube has cross-sectional area $15.0 cm^{2}$. Which one of the following choices best represents the height above the original equilibrium that the mercury rises in the right tube? The drawings are not to scale.