94.17: A cork has weight mg and density 25% of water d efpf 177h3hwoensity. A string is tied around the cork and attw7o 73pf1feh hached to the bottom of a water-filled container. As shown in the accompanying figure, 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 submerged underwater, the apparent mass)eti8f1cg ks( of one cubic centimeter of pure gold is 18.3 grams. What would be its mass in aif (cks1tegi 8)r?

  04.29: Three fishing bobbers all individually float on*j4nf 2(t bols 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 bobber 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 j2 s4 fb*tnlo(displace the greatest volume of water?

  01.18: Which of the following is theq 7psly4 e y0texbji:z(x6t71 best statement of Pascal's Law?

  05.24: The hydraulic press, which allows large masseszs dk5h5o:u4 e2k i5qx to be lifted with small applied forces, is a consequence of wh4 zh eo ikdx:52s5ukq5ich principle?

  06.30: A copper block is connected to a string and su:cu6-ku2slnh bmerged in a container of water h u:l2k-snu6c.
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 w1gs f9oeupai+-fqk 4 *ide. If the atmospheric pressure is ou-91aik*sg f ep+4qf $1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.k2qg*f chnb ,+0 kg object floats at rest with 75% of the object subcnkq *+bgf ,2hmerged in a cubical tank containing $50.0 m^{3}$ of water. What is the buoyant force acting on the object?

  14.26: A solid cube of iron and a solid cube of aluminum have el4rhn 6dgdd.xzl8 i8oj )uhao ;/8(by mrn6:xqual mass. The cubes areplaced into the same large pool of water so that each is completely submerged and resting on the pool’sbottom. Which object experiences they6ilr;6zbho.jdnn(xd )lr8:m8 u4 ahgd/x o8 greater buoyant force from the water?

  12.21: A child’s balloon is filled with pure Xenon gas. This ballov 7adj3xr 3r0;y,j8uze wm0sl lc8x-non then is released from rest two meters above the ground on Earth. Which one of the following choices best describes the response of the ba708jymrnl0v- ;j 3dus wxcz,a8rxl3 elloon?

  16.23: At a party, two spherical balloons aye;;3(y8iqm8 f0 q cd: eelcwdre expanded to have the same radius. Balloon #1 is filled with helium gas while bae8;mdiqcly 8 c0f (:dyqw e3e;lloon #2 is filled with xenon gas. Which one of the following statements about the buoyant forces on the balloons is correct?

  03.36: An ideal fluiddc r, didi1efq;:6k 5n flows through a long horizontal circular pipe. In one region of the pipe, it has radius R. The pipe then widens to radius 2R. What is the ratio of thek crfqd:id1;n6e5 id , 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 forced through a pipe ofzgm0k g((mz: rhr)6 uf changing cross section as shown. In which section would the pressure of the fluid be z (g:mz6)m0rufhgk(ra minimum?

  07.35: Two objects labeled K and L have equal mass but densc4y.pkom eus,w9 g )x)-kxr n7ities 0.95D0 and D0, respectively. Each of these objects floats after being thrown into a deep swimming pool.)k- xygcew )psn. ou9,xm 74kr Which is true about the buoyant forces acting on these objects?

  08.16: A block is connected to a lightv+ge7d1 og*xsrie. ki s1lz39 string attached to the bottom of a large container of water. The tension in the string is 3.0 N. The gravitational force from the earth on the block is 5.0N. What is th1*eg3+osg7 1 slzk.iixve9 dre block’svolume?

  15.30: A spring scale readse z.kt5/6ey:evgwj1 )f1sc3i qp zu3s vi7qx; 2.50N when 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.efe5z1j;vz:vq3 ue 1i63ksc gity w)q 7p/sx of the following choices best represents the density of the solid mass(unit: $kg/m^{3}$)?

  09.32: A cube of unknown material and uniform density floats in a contasg/5 ra/9sfxl)2q hwviner of water with 60% of its volume submerged. If this same cube were placed in a contfvq)awr/2x 95shs gl/ainer 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 cylindrically-shape dea,g9-,up:fw nqs- bd pipe. At the lower end, the pipe’s cross- sectional banw9, fe :psdg, qu-- 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 alxyia8qtu 3 )-n ideal fluid is marked as it moves along a horizontal streamline through a pipe, as shown in the figure. In Region I, the speed of the fluid on the )y8 - uxail3tqstreamline 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 fluid completely fills a small horizontalh xvn9y;/le 2j tube that has a narrowing cross-sectional area as seen in the figure. Which one of the following choices best describes what has happened to the fluid’s speed and itse 2y;/nx9hvlj associated pressure in the narrower region as compared to the wider region?

  10.47: An open cylindrical container with very large radi i5ixf88 m.abyxz6mu t4hv5 o7us is at rest a distance u7m5bx i vzi4688tf. 5axmyhoH above the ground at the edge of a platform. 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 cubic blocko8kzf.2sl:6 rx/9ykjtn a ;-w(zcbml 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 f(iy+k hqsp6 nx hir853,qoo/ having 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 mvp 2/n+r, 9xpnj; kjhmercury (density $13.6g/cm^{3}$) 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.