94.17: A cork has weigh x*ptvznao21 -t mg and density 25% of water density. A string is tied around the cork and attached to the bottom of a water-filled conta2nz- tov *px1ainer. 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 mass of one cubicft7y m4s+qb p+8ayno 6 centimeter of pure goldyy+qa8 7f6+no4msp tb is 18.3 grams. What would be its mass in air?

  04.29: Three fishing bobbers all individually 7m1(asry(aj w float on top of water. BobbersA and B have identical masses and densitirsmy7 j 1wa(a(es 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 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 L:0ng* q:8+)wii4zmzd liv wkw aw?

  05.24: The hydraulic press, which allowsw*u; s 6bt5lir large masses to be lifted with small applied ftwrbi;6ls5* u orces, is a consequence of which principle?

  06.30: A copper block is connected to a string and9h( h4hn*6wt 0jesmb e submerged in a container of wate 04thwe mjs*e69(nhbhr.
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 lfgdy,1*0 8u1 agsu f2kshq6feong and 5.0 m wide. If the atmospheric pressure is e yffukughg1a2 0q86fs1*d s,$1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 k )9xxo8nuu( d / er(rjswku6o+g object floats at rest with 75% of the object sx ) oud8nxks(urr9e/ +wj(o 6uubmerged 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 anu4v* 3rl*vo knd a solid cube of aluminum have equal mass. The cubes areplacednv*3v k r4*oul 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 water?

  12.21: A child’s balloon is filled with pure Xenon gas. Thu /rql,gs0n2 7tdmu2zis balloon then is released from rest two meters above the ground on Earth. Which one of the following choices best describersq/udu2zlt,m0 n2 g7s the response of the balloon?

  16.23: At a party, two spherical lx(qogvmc o:b/ w+dts90/rg9 z m; l:fballoons are expanded 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 the balloons is x:g/vgmf+t 9:ordm bqcos0lw;/(z9 lcorrect?

  03.36: An ideal fluid flows q q qd 50,jrh36.hlbalw-j)u-3 e3 hfq4kac zuthrough a long horizontal circular pipe. In one region of the pipe, it has radius R. The pipe then widens to radius 2R. f -q5 336rhdu3qjlqjz,c)wu h -ak. h0qa4bleWhat 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 cz g a//f)q vsgxyd(;c-hanging cross section as shown. In which section would the pressure of q)c(v/as/dgy-x gf;z the fluid be a minimum?

  07.35: Two objects labegu yeu k)eslg4zd7/(9 led 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 pool. Which is true about the buoyant forces acting on thes)z glke7( g4use 9/uyde objects?

  08.16: A block is connected to a light string at0obs t uu6(lb;tached 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 ut l0u;6osbb( 5.0N. What is the block’svolume?

  15.30: A spring scale reads 2.50N when a small solid mass hangs fr,l).l( dqkuj ;rus:b jw2w ln(om 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 the following choices best represents the densi2 )n. l kjls:(dww,; ublqr(ujty of the solid mass(unit: $kg/m^{3}$)?

  09.32: A cube of unknown material and unce8pxz 1;g*m(l .gwp ciform density floats in a container of water with 60% of itegwmxp*l1pc c ;. zg(8s 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 thef a1aq 4bz6nz, lower end, the pip4zz1fq aa b,6ne’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 ideal fluid is mark; e0j o,dws*yeed 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 of the pipe in Region II is half of what itwd0 ,* ;eosjye 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 small horizozge+/ rpni0 72oj ch(fntal tube that has a narrowing cross-sectional area as seen in the figure. Which one of the follj g2c(inz7 fpeorh/0+owing 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 containe mu0b6+) h:9pdwczyier 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 contbd+u96i 0)pw:zm eh ycainer 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 block is gidd ya0( ors3w.ven 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 fil mnr4zrdb .thuexvktmz/m27(52q+ 6mled 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+4o3wp +adllky(0o;in6mks x 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.