94.17: A cork has weight mg y oh69qw1s( zjand density 25% of water density. A string is tied around the coo 9wzs 16hjq(yrk 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 the string is:

  01.20: When submerge57w exn ;s,+xxfd b+vneeb:.l. w/j uwd underwater, the apparent mass of one cubic centimeter of pure gold is 18.3 grams. What would be itsln7,xxbw .dvj+eb sxw.w;f/ n u:e+5e mass in air?

  04.29: Three fishing bobber9 m+r;+ mwpvbqs all individually float on top 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 completely beneath the surface of the war+qm p9vm+; bwter, which bobber will displace the greatest volume of water?

  01.18: Which of the following is the best statement of Pascal's Law?6 ghptn+r4sjxnqj).k a+a46jw )xy: v

  05.24: The hydraulic press, which allows large masses to -i: + efk+;bk n 29loie7qgj1ollcc8fbe lifted with small applii c 8ikf-ogbloef q;ell+n 9+j17 :2cked forces, is a consequence of which principle?

  06.30: A copper block is connected to a 82 vgpr :ciiz5string and submerged in a container of wat5gvii:zpc 2r 8er.
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;+o f; neh+-ctsgvn7jj(;dn a and 5.0 m wide. If the atmospheric pressure is (echn;n-g js t;f+a 7jvo; nd+$1.0 × 10^{5}Pa$, 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 th d)6l aehq,qfoqb:1y( e object submerged in:q y16l(q eo, )qafdbh a cubical 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 )0m/ bi ruwrsk/:k8 m6fehxgv 4r5ba 7e.y3znmass. The cubes areplaced into the sr6yreb/3uf/e87)vmzw4:kgm 0xh b i .sn a kr5ame 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 then okvq 11 y 2*hmpsdjnpu037 ajh2x *jt+is released from rest two m qp0jd*j2ayx3 k o1 hh*+uptj 7mv2sn1eters 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 q9epa0:r g u*3dwvfse1tl /m8 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 statements about the buoyant forces on the b1elwg9a*tm3p u0:d /ev f8rsqalloons is correct?

  03.36: An ideal fluid flows through a ljt a6l/1c-e / gs5py 6j3gdnntong horizontal circular 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 to the speed of the flu6-n/ 5yjaj t/d epg3sl6ngt1 cid in region with radius 2R?

  04.24: A fluid is forced through a pipe of changing cross section as shown. I:0 wze+tlib 9pud )0ywn which yz)dbul p9w0we +t :i0section would the pressure of the fluid be a minimum?

  07.35: Two objects labeled K and L have equal mass but densities 0.97(pj .c3 3t : j5beyxpi1ldnkr5D0 and D0, respectively. Each of these objects floats after being thrown into a deep swimming pool. Which is true about the buoyant forcesl : r3d7p.jjx1e53pi ncyk t(b acting on these objects?

  08.16: A block is connected to aj:y8 y9sa*e6y eph: w/wpqbwl2yjb7- light string attached 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 5.0Nyya9 qwsy:68*e 7e/2bljpp :w-j hbw y. What is the block’svolume?

  15.30: A spring scale reads 2.50N when a small solid mass hangs from it in9d/ncnl(c k. n air. The spring scale reads 1.58N when the mass at the end of the spring i 9lkc .ncnn(/ds completely 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 andg(*pf*i/2 5ajaqtcxqk+ v3 wb uniform density floats in a container of water with 60% of its volume submerged. If this same cube were placed in a container of oil 5(xgapw/cqqk*i 3tbv ja2*+f 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- efd rh,8uv/5e txjz2 pipe. At the lower end, the pipe’s cross2/jvfrutex- 8he, z5d - 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 as it moves along athyac 5wyqqzs41 0 j(/ horizontal streamline through a pipe, as shown in the figure. In Region I, yqqaw4 (1js5z yh/ct0the 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?

  13.25: An ideal fluid completely fills a small horizontal tube 0hkgqb mjgs6 (g,,;us5z xr1fthat has a narrowing cross-sectional area as seen in the figure. Which one of the following ,1h;mz5 xgu gs b0rfj q(kg,s6choices 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 container with very large radius is at rest 6f+*aj encl :s a distance H above the ground at the edge of a platform. A tiny hole sln +cja6*:efdevelops 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 givef52ldz1pkqvwpmf (: h u+fy-gz (4m6 dn 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 den,g - p-ayqmdz8sity 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 with3t2 txva rjd 7;qh7midhi 4l40 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.