94.17: A cork has weight mg and denev5zw ,inpa5 41gcw5tb 0ubh/sity 25% of water density. A string is tied around the cork and attached to the bottom of a water-filled container. As shp 4ua,bc5e hwgtnv105z/5iw bown 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, the apparent mass m8s1uq+rz gr.+zozs/ of one cubic centimeter of puremosrz rguzs/+8+ qz.1 gold is 18.3 grams. What would be its mass in air?

  04.29: Three fishing bobbers all individually fl9remt;ybuz 6b7q z37+h z k(pboat 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 zm+9byh be 73(6p;r7qz zuktb 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 bes*13ikn0kjjg . nph fwd.ci1 2ht statement of Pascal's Law?

  05.24: The hydraulic press, which i hoh9d/ 6q:jv r5*uq0bdhj0dallows large masses to be lifted with small applied forces, is a consequence of which principlid d* 6d0joh/:qh0b v hr5q9jue?

  06.30: A copper block is connected to a string and.j8u+ v qj8gpj submerged in a container of water. 8g uv8jjqp.j+
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 ;-,i pgbsl6hxand 5.0 m wide. If the atmospheric pressure is lbi6hp;, gs- x $1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg object floats at rest with 75% ofu. ,fdbwk jer7/g81mw the object submergem k.ej7/gbr18 uwdfw,d in 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 cauky - ,tbrt5;ube of aluminum have equal mass. The cubes areytt-k,5 baru;placed 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 then is rzlnp4ks7,0( )h;wly ; sklo bteleased from rest t4 slt h(lw)z,;konl;7pb0y sk wo 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 spherical balloons aref*tf e;q )zen2szs5c5 expanded to have the same radius. Balloon #1 is filled with helium g2 f5sstzf) e;n*ze5c qas 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 flo6 +pvyu 9 lro6qf)i(siws through a long horizontal circular pipe. In one region of the pipe, it has ( sipir )of6yvu96 q+lradius 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 fluid in region with radius 2R?

  04.24: A fluid is forced throrol19lg 4eo 0gugh a pipe of changing cross section as shown. In which secto 9e4gl0ro1gl ion would the pressure of the fluid be a minimum?

  07.35: Two objects labeled K and L have equal mass but densities 0.kq;tfeq 2kl( )p ldsn5 4vzm0*95D0 and D0, respectively. Each of these objects floats after being thrown into a deep swimming pool. Which is true about the buoyant forces acting on these)lmstnz*(k4 2qdlf;vq k5ep0 objects?

  08.16: A block is connected to a light string attached to the bottom of a larg0lfg3 :t0gv gnv0bdhry12d n+ e container of water. The tension in the string is 3.0 N. The gravitational fb1vn: d00gth3fr2 vg0dl+y ngorce 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 mass hangs from it in air.gmxf 9hd 4zr*/:goe0w 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 densigw04 hd9zem x*rof/g:ty of the solid mass(unit: $kg/m^{3}$)?

  09.32: A cube of unknown jht +-gijjrj,s q;nonq:+:r jo 1:l6dmaterial and uniform density floats in a container of water with 60% of its volume submerged. If th:sol; 1ot:++ jjni d:6hr gqjrnjqj-,is 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. At the lv3,94uzwx ptw ower end, pw,9xu3w 4vt zthe 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 idpyn3lf jv,27szakr4f/b o n38eal fluid is marked as it moves along a horizontal streamline 3k l8bjpf/rvysza3nf24n o,7 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?

  13.25: An ideal fluid coi8 n67 35pcc6*w1ffftw n tftxmpletely 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 hasx7cpf6 w6f *f nnw13ic58tt tf 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 containgvk1ic; hw t -i ;uif8h88;d2ns) spxjer 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 container and water from the container squirts out horizontallpuh8wh2v s;ij-gxis 8f1d)t; 8 ;nciky 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 hgibxkta wn,-xu1y- p* be.uxoo;hk 1;h42;h 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 liquiij mom)5 il 3n 3 wgzv+i;1pz54vave+ld 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 wit;r9 et(k9ndvbh 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.