94.17: A cork has weight mg a-ta.sx)1j +l pg gze3and density 25% of water density. A string is tied around the cork and attached to the bottom of a water-filled container. As shown in the acla3 xgsp-gj+t )z ae.1companying 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 underwa7;uo9m7:o(hi0felrqk wjz 0tter, the apparent mass of one cubic centimeter of pure gold is 18.3 gramshjozw: 0mle;kio07r (7q9tf u. What would be its mass in air?

  04.29: Three fishing bobbers all individually float on top of water. Bmlg4 8kg) lbuf3 9mm:nz9 :oel-da sv4obbersA 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 thre 4)9 ug8bmm9zl:olan3sg 4:-kfl mdvee 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 tdj4b 9)mwrx;uzobz9 ps36pfl+ .vc b0 he best statement of Pascal's Law?

  05.24: The hydraulic press, which allows large masseqfi m/1y1n0f 8u2w wcxs to be lifted with small applied forces, is a conseff yx1/c2iwqnu81w0mquence of which principle?

  06.30: A copper block is connected to a string ab c z+y08zg*jb5ucj-lgy:5 aund submerged in a container of watey*l+azbg-uc5y zj c580 u:jbgr.
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 ish f;,ut* gyt6(n4rx ap 22.0 m long and 5.0 m wide. If the atmospheric pressure is gpnr6ytth;x,* (ufa4 $1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg object floats at rest with 75% of the obje qo+z4no6k)hv ct submerged in a cubical tank contai4k)hnzo v6o+qning $50.0 m^{3}$ 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 equal mass. The cu4 fuc 8fxl cp(5g85+f pb0bgsjbes areplacedpbsc l xbj85+(gf 4f58cfpu0g 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. This balloo(ibi, aulkv-onuh *+ezk51/ ln then is released from rest two meters above the ground on Earth. Which one of the following choices best descrloe*, lh5 v (/+1auk-ibik nuzibes the response of the balloon?

  16.23: At a party, two spherical balloons z3aw+k d o:a n1(zahw2m.f0ckare 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 statements1 kaahw3 0noaz( kmf.cdw 2:+z about the buoyant forces on the balloons is correct?

  03.36: An ideal fluid flows through a long horizontal cv9i5 q)by+*e f;9k mk:axjncq ircular pipe. In one region of the pipe, it has radius R. The pipea) y9ckfjq ;*km+nq : x5vbie9 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 pipe of changing cross secti,al)m ;glf/wvon as shown. In which section would fg/lwm ,vl);athe pressure of the fluid be a minimum?

  07.35: Two objects labeled K and:s+: *s,tvcfcxv9x xm L have equal mass but densities 0.95D0 and D0, respectively. Each of these objects floats after being thtc x9 f:,+ssxxv v*m:crown into a deep swimming pool. Which is true about the buoyant forces acting on these objects?

  08.16: A block is connected to a light string attached to the bottom of a vmfw hru533 r1large container of water. The tension in the string is 3.0 N. The gravitationavh 3w3rmf ru51l force from the earth on the block is 5.0N. What is the block’svolume?

  15.30: A spring scayfndbl, ebm-4s6zsv6+x1jt w 0u sk*,le reads 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 ntb,lk4u 6wedyv1z *bx+s0ms f6j s-, 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 un.8v4+rk,vm*i f gi pcwiform density floats in a container of water with 60% of its vrk4i, +g*pfw v8c .vmiolume 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 cyli4qid ve/gyuw4u0z1.t ndrically-shaped pipe. At the lower end, the pipe’s cross- vy 4iuqt4zwgd /01e.usectional 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 horiz y2w2xdjewbo,(6 t .zzontal 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 in Region I. What is the spewxd 6 zjy,z.o2w2bet(ed of the marked fluid when it is in Region II?

  13.25: An ideal fluid completely fills a small horizontal tube that has ahmnc4(b i dy1;y ds)z9 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 itsc)yisnbz4 d( y91m;dh associated pressure in the narrower region as compared to the wider region?

  10.47: An open cylindrical conto0,ro k9htv*eidrws 9ea4l9 0ainer 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 sq9raiktdr v4seo9wl9 *h ,o0e0uirts 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 ofhya k9.y 7r uw9h/eb+6yp a2lm a solid cubic 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 density,r zz+* kvr1pc68huv y 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 o w+ 6q gerx+t04q/mui(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.