94.17: A cork has weight mg and density 25% of water density. A czxcdz oh-9,dpm-v 0h/o 51eastring 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 the cork weigx,zh 10amc9/v-5- dohpc zeod ht mg, the tension in the string is:

  01.20: When submerged uhkg7if r p air2m( eo*e3 84n,cck4tr5nderwater, the apparent mass of one cubic centimeter of puntre 4ork(hg , 4c8i* pc2 r5af7m3ekire gold is 18.3 grams. What would be its mass in air?

  04.29: Three fishing bobbers all individually flomi )l)3q.ryer 2- tkyhat on top 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 the surface of the water, which bobbiyr-.krtly3m qe2h))er will displace the greatest volume of water?

  01.18: Which of the following is the best stat8//gkhsujdaf5t 12aw4;k e zkement of Pascal's Law?

  05.24: The hydraulic press, which al rs5cu a( izjmep1cad:)7 k6/llows large masses to be lifted with small applied forces, is a cons6uczac/ (aml)5e1s r:7j pkdiequence of which principle?

  06.30: A copper block is connected to a string and submerged in a containeyqx9i hw.ky0 *pin ()zr of watep9h yzy0q( wki *)i.nxr.
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 wb- (z;)rnocp hide. If the atmospheric pressure is hcp;ob )n(zr- $1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg object floats at rest with 75% cb)fuy1gyi43- 5gyj n2m4kd vqm f+x,of the object submerged c3dxy- f),bknmm4yy4ugj1 5+if2vqg 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 of aluminum have eqq ,x6omrx ai.)ual mass. The cubes areplaced into the same large pool of water so that each is completelixqa 6. )o,mxry 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. This balloon then is /)r6 :fmxrtfkreleased from rest two meters above the ground on Earth. Which one of the following choices berfrk6) m: ftx/st describes the response of the balloon?

  16.23: At a party, two spherical balloons are ezj (mw0e) qek8 v.sws7xpanded to have the same radius. Balloon #1 is filled with helium gas while balloon #2 is filled with xenon gas. Which one )8e(eqwmk s7 0zjvs. wof the following statements about the buoyant forces on the balloons is correct?

  03.36: An ideal fluid flows through a long hori( qp9n*nr0,ah 8 wugdbzontal circular pipe. In one region of the pipe, it has radiuqd0(rb , w*an98g phuns 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 p3ljx 9sl 237+bgw(q amz-nn aaipe of changing cross section as shown. In which section q7lgjm+2 za sx3w3lnab-9na (would the pressure of the fluid be a minimum?

  07.35: Two objects labeled K and L havecio. 7-.n wp 1)9*eb:thv9xeldwmnp 6ac )b yw equal mass but densities 0.95D0 and D0, respectively. Each of these objects floats after being thrown into a deep swimming pool. Which is t7pvw t-cc n .edp)xoh6a9lbnw.by *)e9 miw1: rue about the buoyant forces acting on these objects?

  08.16: A block is connected to a light string attached to the bottom of a largs zs rg i24l xnr8+xpjlj.60jc1er6. ne 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 nscn rj+.6ilx1r j4rl6x8g0p. jzs e 2is the block’svolume?

  15.30: A spring scale reads 2.50N when a xy (29n7) a:aitu )ckoxrxve 7small solid mass hangs from it in air. The 9 t)7cyx i(xark2nua evx:7)o 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 density floats in stmpfs33v+v; * hi,s oa container of water with 60% of its volume submerge3*stf3osv ;psmhv i,+ d. 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 cylijo5n, x bnsi2+ndrically-shaped pipe. At the lower end, the pipe’s crossoxbn n,2+si5j- 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 marked as5j34 eyfr;xps0* lv xp 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 it was i3*4rpx exfs ;ly50jvpn Region I. What is the speed of the marked fluid when it is in Region II?

  13.25: An ideal fluid completely fills 6cj l bjzu).l,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 narrower region as compared to the wider regio jl)ujb.zlc ,6n?

  10.47: An open cylindrical container with very large ra6tw5.vpdooy/ xe3frltzw8. 3 dius 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 36l.. t yo vwf3 zw5ret/xpd8oand 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 of a solid cub4 pybrz 93 qnb+s*xo+iic 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 swimming pool is filled with a liquid having a densi1sbe p /o5li5lty 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 qa *ea8z:-val7 m, kly(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.