94.17: A cork has weight mg and density 25% of water density. A s1.w st:sy 1)9ig bqetytring 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 th :1stw1ygb tsi9qy.)ee cork weight mg, the tension in the string is:

  01.20: When submerged wa:s3a 6ofn1 o ;kros)underwater, the apparent mass of one cubic centimeter of pure gold is 18.3 grams. Whsar wook :nfa;) so163at would be its mass in air?

  04.29: Three fishing bobbers all individually float on top of water. BobbersA v9g6by,r2yc ;9e dzck p2(iwym9 zzx (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 zv dig9z;9e 2 w y y9r2(xkm6czy,pbc(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 statement of Pascal's La b1tfyel0 gg:upkw(+l3h ii(4 w?

  05.24: The hydraulic press, which allows large masses to be lifted with is;e ad(:o8ci small applied forces, is a conseque s8(i; ecoa:dince of which principle?

  06.30: A copper block is connected to a string and submerged in a0m;g6 zkls.r e container of wa0gzk . rlesm;6ter.
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 atmospheric pressure in5zfl m . myjv iz*az1e)pg*-8s .ef51z )*p*-y gnlmz 8i majzv$1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg objidva r8hy 24 vmsa rn*9q/f;4ject floats at rest with 75% of the object subma4f4 jr/9hmvyriv*n28s qd;aerged 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 bu2v(vxh71v z 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 resti 7 2zxhubvvv(1ng on the pool’sbottom. Which object experiences the greater buoyant force from the water?

  12.21: A child’s balloon 7u8 lj- 8jq2zfen6a7jtif) uais filled with pure Xenon gas. This balloon then is released from rest two meters above the ground on Earth. aju72 il j-ute 8f)76fna8 zjqWhich one of the following choices best describes the response of the balloon?

  16.23: At a party, two spherical balloons ar53 eutb2zdpq9l 93 bnue expanded to have the same radius. Balloon #1 is filled wi l3pb 2qbn993t5udzeu th helium 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 throw+kvgbyd, y m+9 m16ewugh a long horizontal circular pipe. In one region of the pipe, it has radius R. The pipe then widens ty16+v bd ,gwymwkm+e9 o 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 ch1 iqr(1xap ;epv6um o5anging cross section as shown. In which section would the pressure of the 6 1op15ervimqx;up( a fluid be a minimum?

  07.35: Two objects labeled Khloch+ t.4 f0:xm4 yuw and L have equal mass but densities 0.95D0 and D0, respectively. Each of these ob h4xt+umcf hy0 .w4:oljects floats after being thrown into a deep swimming pool. Which is true about the buoyant forces acting on these objects?

  08.16: A block is conne8.zebtyvyi4 y2//fq cn;:.eb g) inbacted to a light string attached to the bottom of a large container of water. The tension in the string is 3.0 N. Thn gqvibbnftc)/e4iy./ b a28y;y .z :ee gravitational force from the earth on the block is 5.0N. What is the block’svolume?

  15.30: A spring scale reads 2.50N when a small solid mass hangs from im lmdhx8- jaxzf66+hw67x jkix642ww t 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 of the following choices best represents the density od6 -h w62jhlk w 6x6f+ z48a7mxwijxmxf the solid mass(unit: $kg/m^{3}$)?

  09.32: A cube of unknown material and uniform density floats in a conam oc2. p)hu/nfejr2 cj ucr,b7* b50itainer of water with 60% of its volume submerged. If this same cubfrc/.o 7*uha,b2)ru 2m 05 injjcb pece 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 id8dgem40oc wf8eally through a cylindrically-shaped pipe. At the lower end, the pipe’s cross- sectional am0c8 gwde o84frea 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 floe6bs c ,ebl tj284js+uid is marked as it moves along a horizontal streamline through a pipe, as shown in the fi6l sj,tc2+ebo8ej4bsgure. 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 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 fluipk8lut o) 1ayn*9 nmx-d completely fills a small horizontal tube that has a narrowing cross-se 8n okmaxl*t9y- )up1nctional 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 narrower region as compared to the wider region?

  10.47: An open cylindricatlu4x/x 8 i:ntl container with 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 the container and water from the container squirts out horizontally landing a distancti8xutn4l/x : e 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 givztc upod8wv9ih c,:k.s6. zm+en 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 fiw+xg51hc t7d,+l,z6pb-y 6.fx lmow4nvzd nqlled 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 fill t 2q*rqzlza 0onltx+d/2,-iu ed with mercury (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.