94.17: A cork has weige6lfjiaxxm uv8hp7c( 6,( 1t:s of,qs 3erm h6ht mg and density 25% of water density. A string is tied around the cork an:lex,j( 81t,am3fe7p h fc(uv 6 mxqh66orssid 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 the cork weight mg, the tension in the string is:

  01.20: When submerged underwater, the apparent masbw4ng*hfy:u ,s of one cubic centimeter of pure gold is 18.3 grams * 4bw:uyfnhg,. What would be its mass in air?

  04.29: Three fishing bobbers all individually float on top of water. Bobberslx ao9bdkar9(;f( fs ,A 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 t9a(ko ;dxl( bsr 9aff,hen 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 Law?1ih,24 xmhkh2jo3q3 gxv6 dwh

  05.24: The hydraulic press, which allows l +dz83hpl. zq ) ai9/mahtgmu6arge masses to be lifted with small applied forces, izh6/. +ad8 iu am9)qzmhtl3pg s a consequence of which principle?

  06.30: A copper block is connected to a string and submerg7g g1r1bz znvzngn6n:qq/t 0/ed in a container of water//gnt:ngn6v z qgzz1qr1b0n 7 .
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*t mij,0s87jwv /nusk 22.0 m long and 5.0 m wide. If the atmospheric pressure is tsi,sn 8 ukj*/0vjmw7$1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10 jn8 m (dy::c5ohw:yug.0 kg object floats at rest with 75% of the object submerged in a ocum: gyw:dn 85y(:hjcubical 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 solido19fb .fu kz+rsp;ya; cube of aluminum have equal mass. The cubes areplaced into the same large pool of water so that each is completely submerged and reab1yo 9rs;f kf.p uz;+sting on the pool’sbottom. Which object experiences the greater buoyant force from the water?

  12.21: A child’s balloon is fill3hce eh (o7n-led with pure Xenon gas. This balloon then is released from rest two meters above the3cnh(- 7eoh le 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 expanhx x4pq7n8.gda1:cxunt 5pz .ded to have 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 forces on the4nup5 .x1gz xa.pqctn7: d hx8 balloons is correct?

  03.36: An ideal fluid flows through a long horizontal circu+ wkp gzjva 3++ebys69wb0vi0lar pipe. In one region of the pipe, it has radius R. Theiks0bv+0w693g y pvz w j++bae 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 pi sj;mpstzigu mt,).:za;m8 b0lh (uc 7pe of changing cross section as shown. In which section would the pressure of the fluid gchj ).lus, ttam;(uzip;7s0:mz m b 8be a minimum?

  07.35: Two objects labzmfy)g k+:c -jeled K and L have equal mass but densities 0.95D0 and D0, respectively. Each of these objects floats after being thrown into a deep swimz ):jyfm-cgk+ming pool. Which is true about the buoyant forces acting on these objects?

  08.16: A block is con lyy6-8- ecisx76fov hni7x 4pnected 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 f4s ix6f-c enoi y77hl-yxp8 6vrom the earth on the block is 5.0N. What is the block’svolume?

  15.30: A spring scale readsskfexe:4q6k s( (-i pa 2.50N 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. Which one of ( se aqxpk si-6(k:4fethe following choices best represents the density of the solid mass(unit: $kg/m^{3}$)?

  09.32: A cube of unknown material and unifog3hm+j ;oj:lm rm density floats in a container of water with 60% of its oj+ j 3hlm:gm;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 ideallpm9rl2 h g0/y js l2nq8w0ae-ay through a cylindrically-shaped pipe. At the lower end, the pipe’s cross- sect-hy2na elqwg s 0j2 a9/8l0rmpional 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 moves along a horizontal strg(lidq6d 1k :neamline through a pipe, as shown in the figure. In Region I, the speed of the fluid on lk d(n6q :gid1the 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 fill :(ut.h 6bnatvs a small horizontal tube that has a narrowing cross tb(ta:u. 6vnh-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 narrower region as compared to the wider region?

  10.47: An open cylindrical container with very large radius is at resty *jkoo qck-6kvr,++t6as(h 3n -ghwr 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 c+r - yoar6 ,gqh6wnosk- *thk(+v 3jkdistance 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 given as j7vuo5c ujym;)y )7lc$ρ=0.750 g/cm^{3}$ . 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 liquipfoh-s . f.jtgfkuo*o:f /,z) d 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 mer szso+sy5 -cx4cury (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.