94.17: A cork has weight mg and density 25% of water densit0zwosli z2 10gy. 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 totally immersed in the water. Expressed in terms of the cork weight mg, the tension in ths00 1loig wz2ze string is:

  01.20: When submerged underwater, the apparent mass of odjksh32 wr3mv)p0 zbie5 z14one cubic centimeter of pure gold is 18 z p2md0ivzs1 j)hre 5433owbk.3 grams. What would be its mass in air?

  04.29: Three fishing bobbers all individually float on top ee pcc6ds6v+m- evoxlnqt +n,0-w4cm.u/ ,lx 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 complem,c-o0wleeptdq.m/ce4+6 n- vluxv n c 6x,s +tely 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 omwbabxqi-3 +m)0 wn:pp9qt; jf Pascal's Law?

  05.24: The hydraulic press, which allows large masses to be lifted with small ap8optt v-nk.7h+kkpqoz .1xi 4plied forces, i. pothok p1vqkk4.+tzi7nx 8-s a consequence of which principle?

  06.30: A copper block iwg-b,xf. z finh09 ty*s connected to a string and submerged in a container of wftyh*, bz.0fx gwin9-ater.
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 press c3uni ;g xd6zy3gm 22vai04doure is vad yi26mg;3ig 2od0n 3xczu 4$1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform ;pufnl9)cfa mt4 t:7b10.0 kg object floats at rest with 75% of the object submerged in a cubical tank contaffa)7m9;n:t4c utbp lining $50.0 m^{3}$ of water. What is the buoyant force acting on the object?

  14.26: A solid cube of iron and a soliu)qrrh b4wza,mv1s3,mhqm -m r6x)f + d cube of aluminum have equal mass. The cubes areplaced into the same large pool of wateam ,bmr,zfr-wq) u3 rhvxsqm+6 m14 )hr 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 -l-gqddnq /g+pure Xenon gas. This balloon then is released from rest twgg-/-d +nldqqo meters above the 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 expanded to hav q e)cky//orm-nyj4 :r(k5bsg7bx+t+qn; ob t e the same radius. Balloon #1 is filled with helium gas while balloon #2 is fin+y)orbm kerbtq(c 7q/ -;/+y njgbk4ox:t s 5lled with xenon gas. Which one of the following statements about the buoyant forces on the balloons is correct?

  03.36: An ideal fluid flows through a long horizontal circular pipez 67d:f hv5ucq. In one region of the pipe, it has radius R. The v:h57qz c 6dufpipe 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 forcedsfvp6 wo* h3i6 j4*o rgqot.e* through a pipe of changing cross section as shown. In which section would the pressure of the flur 3q o.oth6jso4**w6 e vipfg*id be a minimum?

  07.35: Two objects labeled K and ro )x8pg ln*ho3o 2hfqu9;ls65w;hqe L have equal mass but densities 0.95D0 and D0, respectively. Each of these objects floats after being thrown into a deep swimmiw3lx6;fu9nhgoo2eq ;oh q)8sr*p 5 lhng pool. Which is true about the buoyant forces acting on these objects?

  08.16: A block is connec ,q-psi*jswl c6a o(-oted to a light string attached to the bottom of a large container6p-,o o *lscj(siqwa- of water. The tension in the string is 3.0 N. The gravitational force from the earth on the block is 5.0N. What is the block’svolume?

  15.30: A spring scale resel( a 7zb, j.(r)k9jzf8 shdqads 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 dzbas l9 r( 8kjsz),q. fje(h7submerged 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 unknowns2e;5w v (exlkfc..u. ux yqx) material and uniform density floats in a container of water with 60% of its volume submerged. If this same cube wereu .u q2w.5vsk xel;c )xfxe.(y 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 cylingc0fn:6 uk(fh bv5, x2 krk:sfdrically-shaped pipe. At the lower end, the pipe’s cross- sect5k:f cvh2sk,(r kb6xfn: gf0uional 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 move ntv9s+v 9h;qps 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 Regiovt9pv9 h+ sqn;n 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 ade* bfqzs,7m w.d )5ccompletely fills 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 hs 5q,*efbca d.d m)7wzas 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 m lx/.abxx* m+ 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 distance H from the edge of the plxlxmmb* .a /x+atform. 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 l)v) wxy94rhr5 6db0pgkpa 5 pas $ρ=0.750 g/cm^{3}$ . 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 swimmx;j+ fslwpc5 /ing 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 (denhym i(p9*ok (* gmk8rv1czlb:sity $13.6g/cm^{3}$) 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.