94.17: A cork has weight mg and density 254 y(y u0vcx ks(,i,5+rcvyvd v% of water density. A string is tied around the cork and attached to the bottom of a water-filled container. As shown in the accompanying figure, the v vvy rsvx(0 5+,ci(u4yydck,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 tjq)z k0k mcb6f+;p:c9g0m js underwater, the apparent mass of one cubic centimeter of pt)j;+0:q p0cfk jzgsbk 69mmc ure gold is 18.3 grams. What would be its mass in air?

  04.29: Three fishing bobbers all individually float on top x 4zmv- (uhlttgebym/4 , c94wof water. BobbersA and B have identical masses and densities buvyc (/ wh44,tgl tbe94mxz u-mt 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 Piktz ( q+ hz;1ag:wxe+ascal's Law?

  05.24: The hydraulic press, which allows large masses ln gi,wq/0qg,to be lifted with small applied forces, is a consiqq/wg, 0g,n lequence of which principle?

  06.30: A copper block is connected to aubsu:de(o7 /7fbnlr3uye 0;p string and submerged in a container of wate 73/pr yb ;edsen(oluub0:7 fur.
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. If8a;p2f2vyr6 54 qpr* yoeke zr the atmospheric pressure is ay v2yrk2 r o45pqzrpfe8;e 6* $1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg object floats at rest with 75ttpl)+8p0za f2i lxql;hw q,6 % of the object submerged in a cubical8x6l)tf i2+tllqwzq ,app0h; 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 equal mff(wf g2 r1qw.aeya3,a.f 7 avass. The cubes ar (1qaf wywg7fe,ffav 3 r2.a.aeplaced 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 Xeno69ni 3qxclb3 dn gas. This balloon then is released from rest two meters above the ground on Eacl3nq9 i 63xdbrth. Which one of the following choices best describes the response of the balloon?

  16.23: At a party, two spherical balloons are e *z j71:bhuw+ha 6jdetxpanded to have the same radius. Balloon #1 is filled with helium gas while balloon #2 is filled with xenonzwd+h*jhuet67 a:jb1 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 pipe.w)w-5k(/wuoaasl-b l 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 talwws b 5k-/uwl-(o )ahe region of radius R to the speed of the fluid in region with radius 2R?

  04.24: A fluid is forced through a pipyy gxkd-+j)gny u1( dbb/ny ,53oo( jbe of changing cross section as shown. In which seou3xgb ,+kn(d g1-j(5jo/yd)y bbyny ction would the pressure of the fluid be a minimum?

  07.35: Two objects labeled K and L have equal massy zrxjh 0h7z+2z6u4.ries :pv but densities 0.95D0 and D0, respectively. 0su: z2.+iy rejv674r hzhpzx Each of these objects floats after being thrown 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 am .9 xcoau,nh; large container of water. The tension in the string is 3.0 N. The gravitational force from thm9ouc .;, xanhe earth on the block is 5.0N. What is the block’svolume?

  15.30: A spring scale rerqo-ee+ .z wxce:lv78 ads 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 submerged in a container of water. Which one of the following choices best represents the density of the solileqxe:z8rv o. -+7cwed mass(unit: $kg/m^{3}$)?

  09.32: A cube of unknown material and uniform deuo z4wy-.o. kpd3w0ml+w0*ks nudio/ nsity floats in a container of water with 60% of its volume subme .+w0w.3i nu-dpmu */0k4yosw dzokolrged. 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 cylindricali1i l6hc 8rt/*sk xb;7y0vibe ly-shaped pipe. At the lower end, the pipe’s cros7 lrsyb ix0/i6kc heb;*1vti8 s- 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 ik : fnh-0(sfvt,ns+jbdeal fluid is marked 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 it was in Region I. What is the speed of the marked fluid when it is+htfnvs-n:j b,f0k ( s in Region II?

  13.25: An ideal fluid completely fills a smal7t itz-ki7fsz;:ncz j )/zi c 1s:gv4bl horizontal tube that has a narrowing cross-sectional kz::izng1sz; f/)t7c viz 4 itb7cjs-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 region?

  10.47: An open cylindrical containerbwb0q4pnz9 ;*bisg n4on7l5y tw(jnz 5t+0zl with very large radius is at rest a distance H a n;yisl(t9np4 w zb57+z*n t5 blgb o0zqwn04jbove 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 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 given8;q z.qzjs)c(vm, r.mhfkoilyk5* h0 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 4v c0 (t q;dhbiytcd,6of $500kg/m^{3}$ . 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 fill / q wdd lfu)c.1l k5xwv5+,bti1qmpy:ed 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.