94.17: A cork has weight mg and density 25% of water density. A string is tier63ipolop4m-ay w u*5d around l p53o*4ym r-a oupw6ithe 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, the tension in the string is:

  01.20: When submerged underwater, the apparent mass of oncz,006hx *awsu n5 thke cubic centimeter of pure gold is 18.ch*x6 wn k u05h0,atsz3 grams. What would be its mass in air?

  04.29: Three fishing bobbers all individually float on top o,q f5 az6irx0xf water. BobbersA and B have identical06rxz fqixa, 5 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 will displace the greatest volume of water?

  01.18: Which of the following is the best statecv jvzj7 ydua;mk;k 4.56d+m wment of Pascal's Law?

  05.24: The hydraulic press, which allows larq d3 1llav35ctge masses to be lifted with small applied forces, is a consequence of wh3ac5qv 3dl1t lich principle?

  06.30: A copper block is connected to a string and cy wnr yc8ic-a/b.c;3z(oq7psubmerged in a container of water;./anci-yq3b ypco 8w cc(7rz.
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 atmospheric pressure isavhsh-a nbl)/u :5 cq9 s):9qvh5lbh /aa-u cn $1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg obmes5g ijr9k2fw82f w+ject floats at rest with 75% of the object submerged in a cubical tank mf f59ejg2 +8kws2 rwicontaining $50.0 m^{3}$ of water. What is the buoyant force acting on the object?

  14.26: A solid cube of iron and a solid cube of al/gp7 vj2m : ig4hdhl,luminum have equal mass. The cubes areplaced into the same large pop7h,4jlvdg2i/g l:hm ol 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 t67n6:kzi e)6hv x(qxx rury6cj9 ; zxballoon then is released from rest two meters above the ground on Earth. Which one of6r xz x j:x nr6k;t67cyvx6izeh u9)(q the following choices best describes the response of the balloon?

  16.23: At a party, two spherical balloons are expanded to have the same rad91q3yj:tt lp c si6hc-ius. Balloon #1 is filled with helium gas while balloon #2 is filled with xenon gas. Which one of the following statements about the buoyant isjcc 3yhp1t-l : 6qt9forces on the balloons is correct?

  03.36: An ideal fluid fl+3i soc(ssz52m ,etr8deirq1- 1lq6te1eqv cows through a long horizontal circular pipe. In one region of the pi8qe ld1em(1r1rtss 3ece2,s +qcqii v6z-ot 5 pe, 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 fluid in region with radius 2R?

  04.24: A fluid is forced through a pipe of changing cross section as shown. b3s1 ktokqvdq,rjb7 e4x 0 +z+In which section would the pressure of the fluid be a minimumsqb+dro ,+btkq17x3kjv0 z4 e ?

  07.35: Two objects labeled K and L have equal mass but densities 0.95D0 anl 5 hzo(d 4im;8blwnuz 4dcbv pfz,,61d D0, respectively. Each of these objecb,n,44ozz6v h;(zw ld1ui 5d m8fc blpts 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 ohr i8q+rm n6*to a 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 b8rm qrin ho*+6lock is 5.0N. What is the block’svolume?

  15.30: A spring scale reads 2.50N (ib b6tsnm1piy o;)6tt(mz (fwhen 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 fo(mt mio(6tby1p6izt f)b;n(sllowing choices best represents the density of the solid mass(unit: $kg/m^{3}$)?

  09.32: A cube of unknown material and unkqwam 4hfh7 j2 (1*hpu u)9tvhtpks8+iform density floats in a container of water with 60% of its volume shtv+fj9 *hk78(swappu4 k tq) 1h2uhmubmerged. 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 thro e9-y)mnx iv/9mkjw t6ugh a cylindrically-shaped pipe. At the lower end, the pipe’s cross- section m yeik/)m-v99w tj6xnal 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 y3hi 3op/w6z+wy)ixmmarked 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 nary3wip/ 3izm w6x+y)oh rows 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 horizontzxucttjuk0 t/gb;kg skyk*,ch.,- 14al 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 thet h*uzb1ku- gkj/c.xy t;g4,s t0k,ck 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 a dis5erb9vnyw5/azk*2 80v grkhz tance 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 platform. 5 egw 0zry 5nzk /vv*kr2ba9h8For 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 giv -hr;lp i.tqk;en 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 fil dku-:/w;bxc jled 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 filled with mercury ( dxzzw9oui 48txhn6 x.h0a6a(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.