94.17: A cork has we4h qk / i/vbqxr7mh g7b63f-igight mg and density 25% of water density. A string is tied around the corkq-gq7mi rv4f ih7gh /6/bxbk3 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 one cufi f9hm+)f 3pxc,.s mrbic centimeter of pure gold is 18.3 grams. What would be its mass ix , s.f93+f)ifcmmhprn air?

  04.29: Three fishing bobbers all individually float on top of water.2arf 6r:s(jb +m.g.tkp*gt fd BobbersA and B have identical masses and densities but different shapes while p:s.j tb2+gd* r gaf.m(rt6 fkbobbers 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 st*7 b/71ql un,l 9qxcxy(bifndatement of Pascal's Law?

  05.24: The hydraulic press, which allows large ma szp.+ mg8qyonv.hsw /u6-8k bsses to be lifted with small applied forces, is a cons.6.88 vzpy b sug-q+hno w/mksequence of which principle?

  06.30: A copper block is5q2bbifyajs+aamq;u ,* akp(fj bpb058 1t 8h connected to a string and submerged in a container of water.0 (aub8bf;a1b5kpyq2q t * a fbhjp8si5+,maj
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 azo fv72 nf/p;,utaw 5 nf7gb2nnd 5.0 m wide. If the atmospheric pressure is 22,to7znbff np/fuw a5gn 7v;$1.0 × 10^{5}Pa$, what force does the atmosphere exert on the driveway?

  10.22: A small and uniform 10.0 kg objecj ix2 x4;/a:jtyhy5ost floats at rest with 75% of the object submerged in a ha:4yto25/; ijxys xjcubical 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 5i j*liy;q hb46zidh+cube of aluminum have equal mass. The cubes areplaced 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 watehijbizy* hd5;+ iq64lr?

  12.21: A child’s balloon is( e n6l rdh3vn;y3)ote;c8low filled with pure Xenon gas. This balloon then is released from rest two meters above the ground on Earth. Which one of the fllohedo( w38cn;3r6 ;)y tv enollowing choices best describes the response of the balloon?

  16.23: At a party, two nv spza7,2(0 a 4wfrg5syqi(z spherical balloons are expanded to have the same radius. Balloon #1 is filled with hel(ni5 va r az0zw(qs p4gf,y72sium 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 through a long horizontal circular pi n(dx0l3.ku bppe. 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 radib0u3ndxlk (p.us R to the speed of the fluid in region with radius 2R?

  04.24: A fluid is forced through a pipe of changing cross d9xroj2p f8+va)q b2r section as shown. In which section would the preb8xp o r9qaj+v2)r fd2ssure of the fluid be a minimum?

  07.35: Two objects labeled K and L have equal p8(u1b s8iolk4gj) kyn x7eg. mass but densities 0.95D0 and D0, re.)sl8ku4gkyoi(7 1njepx b 8gspectively. Each of these 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 connectedxc/ + h/bz: fw3jtse1y to a light string attached to the bottom of a large container of watewj/3ht1 byzfx :es/+ cr. 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 solid mass :8s0*w ckys.td s7vyohangs from it in air. The spring scale reas7yw tdc.o:sv0 *y ks8ds 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 density of the solid mass(unit: $kg/m^{3}$)?

  09.32: A cube of unknown material and uniform density floats in a container ojunte 4 wwy6p/: n:ov1i2x6bjf water with 60% of its volume submerged. If this same cube were place6nwe:ptn:wvb4xi jj yu/ o216 d 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 th)gif/ 186z b*fb g q)x8pvkbbzrough a cylindrically-shaped pipe. At the lower end, the pipe’s cross- sectioqxg8k *zg ) 1ivzf6pbbfb8/)b nal 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 flk1z8slpv(: mg uid is marked 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 mg8pv(z:1 skl 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 ho l+3x z ew8ucs(;nh dpz90vk3arizontal 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’n3zhesx9w zacpuv(d;8 0 3lk+ 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.h5vufy7,ze(wj .ezg awi, 0t 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 ho. j0z h 7utey(5e.iz vww,f,garizontally 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 solis)8pashwqyv; z3lfj- 2e uy50d 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 /iwxq ;qs i31kxlh h)h8c/u6ydensity 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 (de6yj; z :ikx0ndnsity $13.6g/cm^{3}$) 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.