94.17: A cork has weight mg and density 25% of water density. A string is 4 ru/y)n0/tjma a(afkd1) ii3zmtj s.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, timy(j/tu0a4a3fj kzir)m/)n 1 stad . he tension in the string is:

  01.20: When submerged5uo0sv*j v fg1cvs53k underwater, the apparent mass of one cubic centimeter of pure gold v15gvuf5 ssvk j03*oc is 18.3 grams. What would be its mass in air?

  04.29: Three fishing bobbers all individually float on top of wat 6hg7vvijy5.. aj/ci der. BobbersA and B have identical masses and densities but different jicd/ i7vv.g.jy56hashapes 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 sb4 bayr9,,si28e gwmwe gy.f2tatement of Pascal's Law?

  05.24: The hydraulic press, which allows large masses to be lifted with smabw 2s/p3u*x (3l /u0e+anmszuj e8hwzll applied fo2*p+uzxanz ewjsb/e/w u3 3 hm(us08lrces, is a consequence of which principle?

  06.30: A copper block is connected to a strbk/l8;ml2,roknx )kv ing and submerged in a container of water. mo2k/ ,v rb8;n)klxkl
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 atmut+e3qs39 nkt ospheric pressure is t3k3uen tq+9s$1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg pjlw(s4exp,5ir3v f0-0ybeq oq j5 (z object floats at rest with 75% of the object submerged in a cubical tank containf5-vb soj,w( r 4 yl3x(e00pje5zqqpiing $50.0 m^{3}$ of water. What is the buoyant force acting on the object?

  14.26: A solid cube of iron and a solid cube o28 p iyw*sl(yzf aluminum have equal mass. The cubes areplaced into the same large pool of water so that each is completely submerged and 8yw(*2ipyz lsresting on the pool’sbottom. Which object experiences the greater buoyant force from the water?

  12.21: A child’s balloona.qad 3c;nv 89nksgr0 is filled with pure Xenon gas. This balloon then is released from rest two meters above the ground on Earth. Which one of the fo0 r9a8sq a3v;.k ndngcllowing choices best describes the response of the balloon?

  16.23: At a party, two spherical balloons are expanded to have the same radius.4wxx g :tc7ig (k*g4jy Balloon #1 is filled with hel*:yxc x474jggtk( iwgium gas while balloon #2 is filled with xenon gas. Which one of the following statements about the buoyant forces on the balloons is correct?

  03.36: An ideal fluid flows thro 6ov4hm9wlp6m g +chz4ugh a long horizontal circular pipe. In one region of the pipe, it has radius R. The pipe then widens to radius 2R. What is the ratio ghml oz4mv9+46p c6 hwof 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 ch 0q4 t.tmh4-wl4.f5pzwoyrobvd; s) ,v.psm tanging cross section as shown. In which section would the pressure of the fluid be0ovrw h.4 m4zmvstq;pl - p.ws)t.f 45ybo, td a minimum?

  07.35: Two objects labeled K and L have equal mass but densities 0.95D0 and D0, bxe 1c+/a15yax: wwwq respectively. Each of these objects floats after being thrown into a deep swimming pool. Which is true about the buoyant forces acting onyxba5w1 qx/w c:eaw+ 1 these objects?

  08.16: A block is connected t lq1t3z3r p*+ elv5jqto a light string attached to the bottom of a large container of water. The tension in the string is 3.0 N.35t zv*lrtpq1 + qlje3 The gravitational force from the earth on the block is 5.0N. What is the block’svolume?

  15.30: A spring scale reads 2.50N when a small solid 8)v* qwsu;shr mass hangs from it in air. The spring scale reads 1.58N when the mass at the end of the spring is completely ;ssh8)vwu qr *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 a cw da+ -ft;-e p5b6sfg (3mto/4s rlidrontainer of water with 60% of its volume suw-i3r/ab-6t5d4slpff ; s ore(tm gd+bmerged. 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 cylindrically-shaped pipe-yr ;a3*jmp-d1xjb60r csz my. At the lower end, the pipe’s cross- sectional area is-djmb3c*x -zajy y1s 0;r6rp m $ 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 ho(n( (q: w0whqs )ied07del lxlrizontal 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 in Region II 0le)si7qqh((0dwl( w de:xln?

  13.25: An ideal fluid completelyxnvl,(97yf gpddhsd gx * 7mb7w9a j06 1seu6t 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 has happened to the fluid’s speed and its associated pressure in the narrower region as compared to the wider r79hp 9umx1 l0ebg6v(atd,fw* dd6g7y sn x7jsegion?

  10.47: An open cylindrical contaiar 73 rmzdh-,zner 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 contar,rmd-z h3 za7iner 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 sog)l- hm z:bc.es 2o-molid 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 swimmo.u k8m( dy)yhing 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 fillois,:xlpddb,4n n5 b2 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.