94.17: A cork has weight mg and densityb,-mh7h2 lo gxu0n 2f06noovq 25% of water density. A string is tied around the cork and attached to thhf2bu 6n- 2h0g0mlov,xo7on qe 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, therx5ec :*ch a3e o7xm6 tp,bzy- apparent mass of one cubic centimeter of pure gold is 18.3 gramp5h7e6oe3 x-r a*:tcm cbxz y,s. What would be its mass in air?

  04.29: Three fishing bobbers all individually float +ylmfqlq ,18k(+fu o bon top of water. BobbersA and B have identical masses and densities but different shapes while bobbers B and C have identical+qkyl 1,mfb ofu(ql8 + 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 statfj8(s sb*r lno;wu5t( ement of Pascal's Law?

  05.24: The hydraulic prribppt j* k,)2 i9+int -toh7hess, which allows large masses to be lifted with small applied forces, is a consequence of whik*9oi7 2 hj p-t hpitnrti)+,bch principle?

  06.30: A copper block is connected to a string and su;dd+0k4e ax qxbmerged in a container of water. dq e0d4+kax x;
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 ,yn9zx- :eiwr n qwi/+22.0 m long and 5.0 m wide. If the atmospheric pressure is ,in+nez-w :/w yx rq9i $1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg object floats at x*9tfkv m/do 8rest with 75% of the object submerged in a cubical9x *8k/votmfd tank containing $50.0 m^{3}$ of water. What is the buoyant force acting on the object?

  14.26: A solid cube of iron an): e8kkzh gp: w;.:sqhmyd kz5d a solid cube of aluminum have equal mass. The cubes a5 h .:qgs: pkye;kh:)8 kzdwzmreplaced 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 balloon tc+ e5tms4:0eo )1d2aruqh nmf hen is releasedcqtu nh 4 )1m0se5r:fa+em2od from rest two 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 sphe:xo: wpf z8xe5cciv x:5nn1(h8fo0l hrical balloons 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 statemeoi8o f fvn0c: (hpnxxw851c x:l:he5znts about the buoyant forces on the balloons is correct?

  03.36: An ideal fluid flows through a long horizontal cid* 5j0jgz/imk rcular pipe. In one region of the pipe, it has radius R. The pipe then widens to radius 2R. What is the ratio of the fluid's speed in the region of radius R to0j mk gz/jdi*5 the speed of the fluid in region with radius 2R?

  04.24: A fluid is for.pvbf /g3s+dcc8oqef4gb59 yu: x+o mced through a pipe of changing cross section as shown. In which section would the pressure of the fluid be a min9fvoqe /45 y cmxug3gobp. fsc+db+:8imum?

  07.35: Two objects labeled K and L have equal mass bugk .0 6 c jlysbi13boqbcr3+t,t densities 0.95D0 and D0, respectively. Each of these objects floats after being thrown into a deep swimming pool. Which is tru 3 cy6gb.lsjq +,i031tbko cbre about the buoyant forces acting on these objects?

  08.16: A block is connected to a light string att*+bf(d o ugq0tached 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 5.0N. What isfu b g0to*d(+q the block’svolume?

  15.30: A spring scale reads 2.50N when a small solid mass hangs from it in t7qjpv/ dk)fhb36r +g 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 repr3 pd+7rkt)bvfj6 qh/ gesents the density of the solid mass(unit: $kg/m^{3}$)?

  09.32: A cube of unknown material and uniform density flo sis a2 uq*/-9x(0rsx elkth/oats in a container of water with 60% of its volume submerged. If *klise/ t ro-0s2sxx/hq(9authis 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-shauhkq,(mpg - z8mzbs (8ped pipe. At the lower end,smh8 ukz(q,bz(m p8g- the pipe’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 marked abk y:bucai2pk-,4 y*go .a 3cts 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 in Region I. What is the * c4cobuki. 2y3: ,ygka-batpspeed of the marked fluid when it is in Region II?

  13.25: An ideal fluid completely fills a smalcsx(open4q , 7l 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 speee,copq7(n 4s xd 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 rest a dv)q i6kd q;,cvtolbk3 l43i :bistance 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 qt36coi ;ib:bdkv4q3l vl, k) 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 g u0ioll1 1mk5given 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 swimmingnk o5gqf,2)z hc4r9 gc 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 mercu3e ab6 9amam0dry (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.