94.17: A cork has weight mg and density 25% of water densitydx w, 8ud5yxd/. A string is tied around the cork and attached to the bottom of a water-filled container. As shown in the a5,d u yddxx8w/ccompanying 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, the apparent mass of one cubic oo ;v 1:ivr)9pcvdv8k centimeter of pure gold is 18.3 grams. What would be its mai9 ovcvo:v 1p8 r);kdvss in air?

  04.29: Three fishing bobbers all individually float on top of waterjxz*k1i m3 2er. 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 water, which bobber wi3xrjek mz*1 i2ll displace the greatest volume of water?

  01.18: Which of the following is the best statement of Pascal's Lawqa y z;r)3-h0uvf1 yht?

  05.24: The hydraulic press, which aljbaoit7 y y-2;lows large masses to be lifted with small applied forces, is a consequence of wo7jba- 2y;yti hich principle?

  06.30: A copper block is connected to a s x 8qrt3 6q2ry fk0+b7eog* g/hit-hbpk4blk- tring and submerged in a container of wa7ik4h h oy qtlb8ger*b3gk-br+fpqk62tx/0 -ter.
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.p adc54na*j1 n0 m wide. If the atmospheric pressure is d5 aan* 41njcp$1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg object flm ply j0pgij8 kv *wm.29e7l0xv +quk5oats at rest with 75% of the object submerged in a cu 0jeij*yvwk m+xv 0mkl7p5p9 qu gl82.bical tank containing $50.0 m^{3}$ of water. What is the buoyant force acting on the object?

  14.26: A solid cube of iron anvd2h-.ka 5f eqd a solid cube of aluminum have equal mass. The cubes areplaced inf5e.vhad qk 2-to 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 gad5(9 p ca 1yymz+mk:nxs. This balloon then is released from rest two meters above the ground on Earth. Which one of theny(x:9c+1 mkad y5mzp following choices best describes the response of the balloon?

  16.23: At a party, two spherical balloonsxw4e a),icg x0a0+ pmf 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 0agim0e4axwcx ,f+ )p the following statements about the buoyant forces on the balloons is correct?

  03.36: An ideal fluid flows through a long horizontal circuc59f;a147 jozmsjq)aspp1j4cd m08jdtt.r y lar 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 jyqjsz c d8pm)ts04a tj5 .f714odac;jp19rm of the fluid in region with radius 2R?

  04.24: A fluid is forced through a pipe opj+9 6g qtogu(yn+a)z f changing cross section as shown. In which section would thenyz(oqu 9a6)+t+ j pgg pressure of the fluid be a minimum?

  07.35: Two objects labeled K and L have equal masser+e87 xt*aa+w: xi,psyb:cl but densities 0.95D0 and D0, respectively. Each of thes+yec ar* :e:l7ti,+xax8bwp se 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 mpqvd77d)cex w5ww(7a large container of water. q 7p( ed7 c7wx5vwwdm) The tension in the string is 3.0 N. 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 b rh*xpr 0j)5dsolid mass hangs from it in air. The spring scale reads 1.58N when the mass at the end of the spring is completely subm5rxhpb *j)0rd erged 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 unifof1waq nhq3b-d-;4r lprm density floats in a container of water with 60% of its volume subb qwpl1d hr-an34;q -fmerged. 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 cylindri/ci53o dm frx8wn,p:rvb2sx8cally-shaped pipe. At the lower end, the pipe’s cross- sectional area ip 8xr:,wvim/s2x d 3c58onfbrs $ 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 markedpkmdx ;g; .kw7-gnl,j 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 th-xnl p k7kg ;;djw,.gme marked fluid when it is in Region II?

  13.25: An ideal fluid completely filzn: )pcle0w3g kkb6. wls 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 narrowerp0 nkg.6bl3wz cew:k ) region as compared to the wider region?

  10.47: An open cylindrical container with very largek.jan 4u hdw:kgianmp zh0) vb,)y bm-42rz3( 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 squirts out horizontally landing a distance H from the edge of the p 0 aaimupd,b-)kbz ynvn2 j(:mw.) zg4rk3h4hlatform. 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 s+ f.kg(hqqun/ck al()olid 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 densitys1zjkv+c9 ;7 *nfmic 7q;egqq 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 wit 8m5+,wfa 8aaq jripk-h 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.