4. A hole is poked into the bottom of a can containing liquid. The can has a radius of 3 cm and a height of 8cm. If the volume of the liquid is decreasing at a rate of 100 cubic centimeters per minute at what

4. A hole is poked into the bottom of a can containing liquid. The can has a radius of 3 cm and a height of 8cm. If the volume of the liquid is decreasing at a rate of 100 cubic centimeters per minute at what

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter15: Fluid Mechanics

Section: Chapter Questions

Problem 44P

See similar textbooks

Related questions

Q: 14.The object has a mass of 90g with a volume of 120 cm3. Find the density of the object. a. 1 g/cm3…

Q: The density of aluminum is 2.7 g/cm3. What isthe density in kilograms per cubic meter?

A: Density of aluminum is given by From unit conversions, we know that

Q: 2. A tank is being filled with water through section 1 at a velocity of 5 m/sec and through section…

A: GIVEN :diameter D1 =40 mm diameter D2 =60 mm velocity V1 =5m/s rate of flow in section 3= 0.012 m3/s

Q: 1) A chunk of lead has dimensions of 4.5 cm by 5.20 cm by 6 cm. Its mass is 1587 grams a) what is…

A: We are allowed to give the explanation of first three subparts of a question only which is given…

Q: Two streams merge to form a river. One stream has a width of 8.8 m, depth of 3.3 m, and current…

Q: What is the minimum area (in square meters) of the top surface an ice slab 0.369 m thick floating on…

Q: A plastic cube (density 852 kg/m°) has side length 1.22 jar of maple syrup (density 1199 kg/m3)-you…

A: GivenDensity of plastic cube, ρc=852 kg/m3Side length ,a=1.22 cm=0.0122 mDensity of maple syrup,…

Q: Determine the thickness of a hollow aluminum sphere with a mass of o.35g and has an outer radius of…

Q: 2. What is the smallest number of whole logs (density = 770 kg/m³, radius = 0.076 m, length = 2.88…

Q: Two streams merge to form a river. One stream has a width of 8.5 m, depth of 3.4 m, and current…

A: Stream 1 Width, w1 = 8.5 m Depth, d1 = 3.4 m Current speed, v1 = 2.2 m/s Stream 2 w2 = 6.9 m d2 =…

Q: 4. You purchase a rectangular piece of metal that has dimensions 5.0 x 15.0 x 30.0 mm and mass…

A: Given Datal=5mmb=15mmh=3mmm=0.00158kg

Q: A trough has an open top 0.30 m by 6 mand closed vertical ends which are equilateral triangles 30 cm…

A: The length of the trough is L=6 m The top width of the trough is B=0.30 m The sides of the trough is…

Q: Q4/ A residential area of a city has a population density of 15000 capita per km2 and an area of…

Q: A cylindrical tank with a large diameter is filled with water to a depth D = 0.419 m. A hole of…

Q: Oceans cover 71% of the surface of the Earth, and have an average depth of 3700 m. The planet has an…

Q: A piece of wood is 0.600 m long. 0.200 m wide, and 0.075 m thick. Its density is 700 kg/m. • Part A…

A: Given, Length of wood piece l = 0.600 m Width of wood piece w = 0.200 m Thickness of wood piece t =…

Q: Q 1) A cylinder with a base diameter (100 mm x series) and a height of 250 mm, filled to the middle…

Q: 3. A cylinder displaces the level of water in the graduated cylinder by 14.5 mL. Calculate the…

Q: How long will it take (in hours) for the bucket to be empty?

Q: A cylindrical tank with a large diameter is filled with water to a depth D = 0.207 m. A hole of…

Q: A cylindrical tank with a large diameter is filled with water to a depth D = 0.350 m. A hole of…

Q: 1. What is the smallest number of whole logs (density = 740 kg/m³, radius = 0.083 m, length = 2.91…

A: density of log = 740 kgm3radius = 0.083 m length = 2.91 m number of people = 7mass of each person =…

Q: A piece of wood is 0.600 m long, 0.200 m wide, and 0.075 m thick. Its density is 700 kg/m Part A…

A: Buoyancy Force: It is a physical quantity that represents the force induced in the upward direction…

Q: You built an irrigation system for a farm lot that flows water at a rate of 0.42m^3/s. Calculate the…

A: Apply continuity equation to calculate the velocity of water when it is on ground.…

Q: Hi! One of the homework questions, due to upload today, is "a piece of metal that has a mass of 0.50…

A: Expression for relation between mass, volume and density will be - Density=MassVolume Given values,…

Q: An aluminum sphere has a diameter of 15.6 cm. What is its mass? (density of aluminum= 2700 kg/m3)

A: The radius of the sphere is, r=15.6 cm10-2m1 cm2 =0.078 m The volume of the sphere is, V=43πr3…

Q: A cylindrical tank with a large diameter is filled with water to a depth D = 0.310 m. A hole of…

A: consider two points 1 and 2 at the top and bottom of the tank. The point three is where the area of…

Q: Two streams merge to form a river. One stream has a width of 8.6 m, depth of 3.7 m, and current…

A: Given Data, The width of the first stream(w1)=8.6 m The depth of the first stream(d1)=3.7 m The…

Q: 1) At any time, approximately 20 volcanoes are actively erupting on the Earth, and 50-70 volcanoes…

A: Jeffery's equation is the relationship between the flow rate and viscosity V=ρgt2sinα3μ (1) To…

Q: 24.The area of contact between an injection needle and the skin is a very tiny circle with a…

A: Given: The diameter of the needle is 2.54x10-3 cm. The force exerted by the needle is 6.9x10-2 N.

Q: 20. II A brass washer has an outside diameter of 4.50 cm with a hole of diameter 1.25 cm and is 1.50…

A: Given: Outer diameter , D=4.50 cm Diameter of hole, d=1.25 cm Thickness, h=1.50 mm Density of brass…

Q: Two streams merge to form a river. One stream has a width of 8.5 m, depth of 3.8 m, and current…

Q: What is the minimum area (in square meters) of the top surface an ice slab 0.375 m thick floating on…

Q: Fill in the blanks(a) The volume of a cube of side 1 cm is equal to _____m3(b) The surface area of a…

A: (a) Given,

Q: 2. A cylindrical storage tank has a radius of 1.22 m. When fi lled to aheight of 3.71 m, it holds 14…

A: Given:- A cylindrical storage tank has a radius of 1.22 m. When filled to a height of…

Q: Q4/ A- The light bulb is made from tungsten metal (d 19.3 g/cm3) that has been drawn into a very…

Q: Fluid Flow: Water runs into a fountain, filling all pipes, at a steady rate of 0.750 cubic meters…

A: We have givenWater flowing at steady rate that is discharge (Q)= 0.750 m3/sDiameter of hole (d)=4.50…

Q: 1. What is the smallest number of whole logs (density = 725 kg/m³, radius = 0.079 m, length = 3.21…

Q: Two streams merge to form a river. One stream has a width of 8.9 m, depth of 3.4 m, and current…

A: Given value--- for first stream- width = 8.9 m depth =3.4 m. current speed =2.2 m/s. for second…

Q: 1). A large chunk of metal has a mass of 544.3 kg, and its volume is measured to be 0.0480 m³. i).…

A: Given: Mass m=544.3 kg Volume V=0.0480 m3 Hence the mass density is: ρ=mVρ=544.3 kg0.0480…

Q: 2. Which one of the following is the dimension of pressure? a) [MLT2]. b) [MLT?]. c) [ML-1T²]. d)…

Q: kg What is the weight of a cubic meter of cork? (Use 400 m3 for the density of cork.) Give a…

A: Given: The volume of the cubic cork is 1 m^3. Density of the cork is 400 kg/m^3.

Q: 2. A cubical shaped container is full of water (density = 1000 kg/m'). If the mass of the water is…

Q: A cylindrical tank with a large diameter is filled with water to a depth D = 0.279 m. A hole of…

Q: 2. A horizontal trough is 16m long and its ends are isosceles triangles with an altitude of 4m and a…

Q: 2. Refer to figure 2. Blood flows through a 2.50 cm long artery with a 10.0 mm diameter at 12.0…

A: We need to calculate the force needed to push the blood through the artery.

Q: (I) State your mass and then estimate your volume. [Hint: Because you can swim on or just under the…

A: Assume the mass of your body be 70 kg. Since you are able to swim above or on the surface of the…

Q: What mass of fresh water (in kg) can be contained in a box whose dimensions are 270 mm by 257 mm by…

A: 1mm = 10-3 m if volume of box is V and density of liquid stores in it is d and mass of liquid…

Q: Babreka (The Kidney) is a lake in the Rila mountains, Bulgaria, with the shape of a kidney. Its area…

Question

Show your work

4. A hole is poked into the bottom of a can containing liquid. The can has a radius of 3 cm and a height
of 8cm. If the volume of the liquid is decreasing at a rate of 100 cubic centimeters per minute at what
rate is the water level changing when the water level is 5 cm above the bottom of the can? Round to
the nearest hundredth.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

The inside diameters of the larger portions of the horizontal pipe depicted in Figure P9.45 are 2.50 era. Water flows to the right at a rate of 1.80 104 m3/s. Determine the inside diameter of the constriction. Figure P9.45
A straightforward method of finding the density of an object is to measure its mass and then measure its volume by submerging it in a graduated cylinder. What is the density of a 240-g rock that displaces 89.0 cm3 of water? (Note that the accuracy and practical applications of this technique are more limited than a variety of others that are based on Archimedes' principle.)
A large chunk of metal has a mass of 393 kg, and its volume is measured to be 0.05 m3. (a) Find the metal's mass density and weight density in SI units, (b) what kind of metal is it?
A container of water has a cross-sectional area of A=0.1m2 . A piston sits top of the water (see be following figure). There is a spout located 0.15 m from the bottom of tank, open to the atmosphere, and a stream of water exits the spout. The cross sectional area of the spat is As=7.0104m2 . (a) What is the velocity of the water as it leaves the spout? (b) If the opening of the spout is located 1.5 m above the grand, how far from be pout does water hit the floor? Ignore friction and dissipative forces.
(a) What fraction of Earth's diameter is the greatest ocean depth? (b) The greatest mountain height?
A rectangular gasoline tank bold 30.0 kg of gasoline when full. What is the depth of the tank if is 0.500-m wide by 0.900-m long? (b) Discuss whether gas tank has a reasonable volume for a passenger car.
Explain why the fluid reaches equal levels on either side of a manometer if both sides are open to the atmosphere, even if the tubes are of different diameters.
The inside diameters of the larger portions of the horizontal pipe depicted in Figure P9.45 are 2.50 era. Water flows to the right at a rate of 1.80 104 m3/s. Determine the inside diameter of the constriction. Figure P9.45
Oil having a density of 930 kg/m3 floats on water. A rectangular block of wood 4.00 cm high and with a density of 960 kg/m3 floats partly in the oil and partly in the water. The oil completely covers the block. How far below the interface between the two liquids is the bottom of the block?
What is the difference between flow rate and fluid velocity? How are they related?
Oil having a density of 930 kg/m3 floats on water. A rectangular block of wood 4.00 cm high and with a density of 960 kg/m3 floats partly in the oil and partly in the water. The oil completely covers the block. How far below the interface between the two liquids is the bottom of the block?
Archimedes' principle can be used to calculate the density of a fluid as well as that of a solid. Suppose a chunk of iron with a mass of 390.0 g in air is found to have an apparent mass of 350.5 g when completely submerged in an unknown liquid. (a) What mass of fluid does the iron displace? (b) What is the volume of iron, using its density as given in Table 11.1 (c) Calculate the fluid's density and identify it.