94.17: A cork has weight mg and density 25% of water denof 4uhz7rbabt n9-2q+sity. 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 in the water. Expressed in terms of thf4 obn7ah9t- qbruz2+e cork weight mg, the tension in the string is:

  01.20: When submerged underwater, the apparent mass of one cubic centimeter amja 77kkjt n+an8o.;of pure gold is 18.3 grams. What would be ittjaa m8o7a ; +.7nkjnks mass in air?

  04.29: Three fishing bobbers all individually float on top ofe: qlwy +wm98wed6 z xy.l*j*m 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 maym9mw**xj we w yllq .8zed+6:ss 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 state+rlqezk .ks),6 vu2jd ment of Pascal's Law?

  05.24: The hydraulic press, which allows largn+3mk;e grn*t rpb3d *e masses to be lifted with small applied forces, is a consequence of which principlnntk3 e*+b*;d3mpgrre?

  06.30: A copper block is connected to a string and submerged in a containe428adqumyoxy0 ol d)1r of watelx1oyoqd 8y0)d 2au 4mr.
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 d b./j+o m8r u771r7y trar2+ ppiofehthe atmospheric pressure is p+or7ouatm/ry787 .rj 2i+p1 b rh dfe $1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg object floats at rest with 75% of the objeq t;*w06 xzzdsct submerged0 *6s ;ztzqxdw 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 ocqaypne0z l9 .blc1)h( 6h,af f 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 experie1.h,)ay pz0ha n9q( lcclbf6ences the greater buoyant force from the water?

  12.21: A child’s balloon is filled with pure Xenon g/nr a)4d:yuea as. This balloon then is released from rest two meters above the ground on Earth. Which one of the following choices best describes te du/a:yr4 n)ahe response of the balloon?

  16.23: At a party, two spherical balloons are expanded to have the same ;l 3 jmkym* n0k -6pmzt+ic6 aug5;jeoradius. Balloon #1 is filled with helium gm* p3zi- c 5k6; gyj6u+0 jtnlk;oeammas 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 xs zo3v-mr c *;v6q1wnthrough a long horizontal circular pipe. In one region of the pipeovs1r6 *m;3 qc nzvwx-, 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 forced through a pipe of chaw8 2s l(ecgeeqwg:a2.nging cross section as shown. In which section would the l e egaw.:2w(sqceg28pressure of the fluid be a minimum?

  07.35: Two objects labeled K and L have equal mass but densiti)qm2(je rhpk: es 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 the)2 (k:mjeqrhp se objects?

  08.16: A block is conne yzcfmk,y a:t , ,/rxkfp+-)zdcted to a light 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’svolum,,ty,fmzf -d/r k :axycp)+ kze?

  15.30: A spring scale reads 2.50N when a small solid mass hangs frhgve/v i;8wgr(fsnj 82d/ kr1om it in air. 8d 2v resvg;iwn(jfr1kgh/ / 8The 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 solid mass(unit: $kg/m^{3}$)?

  09.32: A cube of unknown material and uniform d55xjix/d 4 hkva;pl(a ensity floats in a container of water with 60% of its volume submerged. If this same cube were placed in xhjkl4v a;(d5xpa5i /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 pith:8ziu+ 1n nype. At the lower end, the pipe’s cross- sectionalzy nit u8h1:+n 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 fdzbf 0ydlz +ro1if3 45luid 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 streamline is V. The cylindrical, horizontal pipe narrows so that the radius f1fdy 40d 3zzorl bi+5of 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 : 2ierbxjnn8:5zz aebd6sn a24+x k5tcompletely fills a small horizontal 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 its associated pressure in the narrzitn:xa +bed522 s:8nxb j4aer56kznower region as compared to the wider region?

  10.47: An open cylindrical container with vcv c0x:p ugs-(h 1bod-zcsv56ery large radius is at rest a distance H 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 :sp(g 1z -svvb cc-h0x6cou 5dplatform. 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)y u1m-r:sfghi *1lcp 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 ;j+v4 u:qpmk k gqqp16liquid 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 mer5p0s*;uz mnq k(efuw xo,h5 :ocury (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.