94.17: A cork has weight mg and density 25% of w0f+gpwsd5 lgf2(3d +r2ts l tfater density. A string is tied around the cork and attached to the bottom of a water-filled container. As shown in the accompanying figure, the cork is totally immersed i2 2rf gtls+ldpt5fwf+s0g(d3 n the water. Expressed in terms of the cork weight mg, the tension in the string is:

  01.20: When submerged unde+8a(zi3ygiu ea b*r ja/iyg8,rwater, the apparent mass of one cubic centimeter of pure gold is 18.3 grams. What woyua g /,e3ia*j8big+ a(i8zyruld be its mass in air?

  04.29: Three fishing bob4ixnc/s7lqrxwp *3aimim(78u( 5ig ad tq1 n3bers all individually float 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 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 xw8*/7u1xin m a mi4qpi3lcsrt7gn3i(da q5(will displace the greatest volume of water?

  01.18: Which of the following is the best statement of Pascal's v0knb wc+8/xos rl5-pLaw?

  05.24: The hydraulic fahx,0og:ybt4y0w0- dd,rl 5gf r (h upress, which allows large masses to be lifted with small applied forces, is a consequence ,rxg0yhfhy 04,5 b a(fow 0ugrtd-l d:of which principle?

  06.30: A copper block is connected mdei4y.0m kb/k u vq /v7gap00to a string and submerged in a container of w/0mbeg qik/d4mv.k0yp0vu 7a ater.
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 andk ww+jyvt8h,uop +6l6 5.0 m wide. If the atmospheric pressure is +pl6+jh wt v8 wykuo,6 $1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and unifor+yc4hw) 272aq3 xe abpmx lwp-m 10.0 kg object floats at rest with 75% of the object submerged in a cub 23h+7-waq4 cbpxxl)e 2pmawyical 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 u/t(;o dvz: djsolid cube of aluminum have equal 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 exptovj :d/uz;d( eriences the greater buoyant force from the water?

  12.21: A child’s balloon i(jqvrjjg 9 ura,x36 +bs filled with pure Xenon gas. This balloon then is released from res x3b6jj,urr +v q9a(jgt two meters above the ground on Earth. Which one of the following choices best describes the response of the balloon?

  16.23: At a party, two spherical balloons are expanded to havz6m iv 20lyhbe90l0twe the same radius. Balloon #1 is filled with helium gas while balloon #2 is filled with xenon gas. Which one of the following statements about the buoyant ft0b9m ylw6i 2 lzh0ev0orces on the balloons is correct?

  03.36: An ideal fluid flows thr)zpo06*z cyt tqp 93quough 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 the fluid's speed in the region of radius R to t0pu*pqqczt3tz9 )6oy he speed of the fluid in region with radius 2R?

  04.24: A fluid is forcvuk8fjo u);077fj rlded through a pipe of changing cross section as shown. In which secjjufr7d8)ovl f k0;7ution would the pressure of the fluid be a minimum?

  07.35: Two objects labega dt9* 0cd :htpg*wf.a k1x7lled K and L have equal mass but densities 0.95D0 and D0, respectively. Each of these objects floats after being thrown into a deep swimming ptc7t ld:gf0pd*xa9g. wh1a *k ool. Which is true about the buoyant forces acting on these objects?

  08.16: A block is connected to a light string at/ .1 r vw878qpsmif5c 4remvwetached 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 v.wv17 ei5e8m/cmq 4rw p8srf5.0N. What is the block’svolume?

  15.30: A spring scale reads 2.tkb3zq6j5 )n j50N 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.n)3jjk bq5t6 z Which one of the following choices best represents the density of the solid mass(unit: $kg/m^{3}$)?

  09.32: A cube of unknown mh(bokaa 8 tj;-aterial and uniform density floats in a container of water with 60% of its volume submerged. If this same cube were placed in a container of oil with -taoj b( ;8khadensity$ρ=800 kg/m^{3}$ , what portion of the cube’s volume would be submerged while floating?

  12.47: Water flows ideally through a cylindrical:-neymruu1q7 hwf/ e mlw-2s0ly-shaped pipe. At the lower end, e2fr ywu1uh/l - wn0 :q-mes7mthe pipe’s cross- sectional 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 fluid is marktts(iw6+i7ig : nhz tft9wm /)ed as it moves along a horizontal streamline through a pipe, as shown in the figure. In Reghzitn w+:9)tt/( i7gs tif 6mwion 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 fluid completely fills a small h1umxx(i6 g3u borizontal tube that has a narrowing cross-sectional area as seen in the figure. Which one of the following choices best describes what hb ug6xux i13(mas 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 large radius is at rest a di(lq ggf )bkqzs4.8yk t+ll9v4stance H above the ground at the edge of a platform. A tiny hole develops at t+9g kq8s )l4f (4zvgq k.ltyblhe 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 block is b/ j wy19.51xpp-lsf t7lzxvdgiven 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 liqs/) ssc q,0naebi3 bl/uid 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 m32 px nwtd;rc(-al2dzercury (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.