94.17: A cork has weight mg and density 25% of,d,b0p zkstuj r9g.cb xon. 4*rjw6.z water density. A string is tied around the cork and attached to the bottom of a water-9.0 .pdbn*x6jwsc.t 4 or,r,kzzjbgufilled 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-6zf h87*kkup ok tb1i, the apparent mass of one cubic centimeter of pure gold is 18.3 grams. What 8tfk -1 6i*pzokh kbu7would be its mass in air?

  04.29: Three fishing bobbers all individually float on top of wudsx8e q*27-rnapx q ;.vcx-water. BobbersA and B have identical masses and densities but different shapes while bobbers B and C vp -cqx .-xq2e;dan *78sxrwuhave 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 displace the greatest volume of water?

  01.18: Which of the following is tgiow-rx/cjf(- de k.8rz ( ds7)(pcdt he best statement of Pascal's Law?

  05.24: The hydraulic press, which allows large masses to be lifted with small ps4 a)kle8cu.applied forcess ak)8lep.4uc, is a consequence of which principle?

  06.30: A copper block is connected to a string and submerg3g*l piq) tvwh+10meked in a container of water.3p gklm )w0tvh*1eiq +
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 thj7y0p+ta; 9rit- vb lqe atmospheric pressure is 9 tp7-0arl+qvytb j ;i$1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg object floats a+ln bd0pr-zlh:i or/khz*c9 8t rest with 75% of the object submerged in a cubical :-k0* hc8z b/lod rihrnp9l+z 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 equal mass. The (ovu,2c3wwx wd/,* rei:tf sdcubes areplaced into the same large pool of water so that each is completely submerged and resting on the pool’sbottom. Which object experiences the greater buoyant force from the od3x,i fsc vew t,w(:2ud*w/r water?

  12.21: A child’s balloon -xd/we 04mdp p1m3iwgis filled with pure Xenon gas. This balloon then is released from rest two meters above the ground on Earth/pgimd4w0exd3-1 m pw. Which one of the following choices best describes the response of the balloon?

  16.23: At a party, tw tvs1(7vnmo ;8stil 0mj1 z,it xhy:-uo spherical balloons are expanded to have the same radius. Balloon #1 is filled with helu lih0ti-7ojy,;nmvszms vt11 x:( 8tium gas while balloon #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 fluid flows through a long horizontalw2vmist-( o m79wa7b. rhxht* 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 the hwaw7 7xov2st(r.m 9h*- t mbispeed of the fluid in region with radius 2R?

  04.24: A fluid is forced through a pipe of changing crosfjrbt)vqfftck:s /r71xtz):3 (8wqk s section as shown. In whichk crxjf:b1/k:qqz (wfr3 )8ts)f7t vt section would the pressure of the fluid be a minimum?

  07.35: Two objects labeled K kv-r 0dw,9xj c)kf*rb and L have equal mass but densities 0.95D0 and D0, respectively. Each of these objects floats after being thrown into a deep swimming pool. Which is true about the buoyant forces acting on these obje kwrx*)0cd,vk-rbfj9 cts?

  08.16: A block is connected to a l xdsu3(+y 9eblight 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 the block’svolum9y+bx(s du l3ee?

  15.30: A spring scale reads 2.50N when a small solid mass 9m89,g5*lal7twkjq0 vvcprs 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 contait509a7kwj8lvpmq c 9rgvsl* , ner of water. Which one of the following choices best represents the density of the solid mass(unit: $kg/m^{3}$)?

  09.32: A cube of unknown material and uniformeuit it )ps+g5-91p tiud1q,c density floats in a container of water with 6 1)ud eg9qitic 5,1ppi ttu+-s0% 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 cylindrically-shaped pipe. At the lower 3d 5r r h fext4ok7g2dmn* (udj)z7+sbend, the pipe’s cross- s7g e3z(j t+fknoddr 2)7um*r4h5xsd bectional 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 marked as it mojh/:+ zupfc7d ves along a horizontal streamline through a pipe, as shown in the figure. In Region I, the speed of the fluid on the streamline is V. The cylindrical, horizontal pipe narrows so that the radius of the pipe in Regioh+u df:7/j zpcn 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 flui n7mk,u;g*xy,zfm . ocd completely fills a small horizontal tube that has a narrowing cross-sectional area .uxm; o,fy mzk7n,c*gas seen in the figure. Which one of the following choices best describes 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 large radius is at jt,g3a8 q;ruua ,isq 1rest a distance H above the ground at the edge of a platform. A tiny hole 8,a31q j;ts,gu uariqdevelops 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 bl9 jr vd0jukw):ock 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 fillqvnst7 ;hh 0j)d7bvq2ed with a liquid 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 mercu9 uqypw:csly/(p gpi-fuw6 .z c)5bg0 ry (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.