94.17: A cork has weight mg and duosv-5ng w ,b,ensity 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 figure, the cork is wuo,,bgv5s - ntotally immersed in the water. Expressed in terms of the cork weight mg, the tension in the string is:

  01.20: When submerged undezlae:i /0 zac:rwater, the apparent mass of one cubic centimeter of pure gold is 18.3 gram :zcie0a la/:zs. What would be its mass in air?

  04.29: Three fishing bobbers all individually float on 2m uwq+avu 4siqfr3 58top 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 thrufi 8s+2mvu qqa43 w5e surface of the water, which bobber will displace the greatest volume of water?

  01.18: Which of the following is the best stateqad;0a0d6x7lse f;sv u4pep+ ment of Pascal's Law?

  05.24: The hydraulic press, which allows f*jzkj( 7zf4w large masses to be lifted with small appliedw f j4k(7jz*zf forces, is a consequence of which principle?

  06.30: A copper block is connected to a string and submenv4 .d pzr97usseh/rlog/ z gjh7(*6r rged in a container of water.lrr(d h*z4go egh /7 s7suvp.r6nj9z/
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 atmosphr9- ydhcuztys /ep-xr-5 0fnny6 56lheric pressure is rnhxu56 d yhp6e5y0fr/ 9nt-l-yszc-$1.0 × 10^{5}Pa$, 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 objec/aj+iaoar86 4 +qod ott submerg qiadt/8+oo6+raoj 4aed 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 -nuy 4fmy1,kgof iron and a solid 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 experiences the greater bumu-f 4gyy nk,1oyant force from the water?

  12.21: A child’s balloon is filled with pure Xenon gas. This balloon then is rj96e hlzd jv3knwpqy06t:w2 0 eleased from rest two meters above the ground on Eartn ekw0vjyw:hd3 q9z0 6j2 6ptlh. Which one of the following choices best describes the response of the balloon?

  16.23: At a party, two spherical balloons are expanded to have the sam-k*0bs/ *h3o5tt m-xn wvc cq2:gyiiwe 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 forcesv5qh *xcb 3in0gw/w io-k*-cm2:yt st on the balloons is correct?

  03.36: An ideal fluid flows through a long horizo1ea*/fhpz2wg,s k+wx ntal circular pipe. In one region of the pipe, it has radius R. The pipe then widens to radius 2R. What is the raex1w 2+*s fw,akzhpg/tio 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 changing cross section aquc46k .)ecm+cls0 sh s shown. In which section would the pressure of the +hm.cq6clk4u ss)0 cefluid be a minimum?

  07.35: Two objects l9yg f75mjx-qr abeled 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 pjq-5ymx 97g rfool. Which is true about the buoyant forces acting on these objects?

  08.16: A block is connected to a ligh whv4pio x-sdw4nx71q,d 9a 9n:f1l7jhdo - ukt string attached to the bottom of a large container of water. The tension in the string is 3.0 N. The gravitpsdq1v anh 9wh9-ixxd7d1fu4loo :,-4 nw7jk ational force from the earth on the block is 5.0N. What is the block’svolume?

  15.30: A spring scale reads 2.50N snfe 2uav 7- 6gx7c:rtwhen a small solid mass hangs from it in air. The spring scale reads 1.58N whenrs7uve6- 2: fcn7 xagt 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 density floats in a cont;p0 qi- +3ed(tuuar ytainer of water with 60% of its volume submerged. If this same cube were placed in a container of oeu( +tur0qi;ytpa 3d-il 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 cd1o2 l96y *6.p9 mqwjtdno-6q hancpcylindrically-shaped pipe. At the lower end, the pipel*oc6pdjt.h6q-nodc 9yn6pa 2w9 q m1’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 ider z0 /0w/sjxgzal 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 streamline is V. The cylindrical, horizontal pipe narrows soj/s zr/gz x00w 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 u f ghsk--5;qzsmall horizontal tube that has a narrowing cross-sectional area as seen in the h-sufzk;5 gq-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 wit0vq: z2nb.ro0zh: 6gvi nq1wwh very 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 tqzqbg6 vzw v:0o.02 nwihr 1n:he 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 ofygn19(qzdn g 5s.,pgoye5;lx a solid cubic 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 swimminu9s5 w ; j7; dksmnke54 bzu-bgaz,:tn0jknk -g pool is filled 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 mercury (1/ (se(he w xe wll5/5qqecyl: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.