A tank is full of water. Find the work required to pump the water out of the spout. Use the fact that water weighs 62.5 lb/ft3. (Assume r = 3 ft, R = 6 ft, and h = 10  ft.)

Q: H. D FO 4 m G Area of EFGH 10 m = 16'sq m %3D [?] ml ] A,

A: One side of the square ABCD is 10 m. The area of the square ABCD is to be determined.

Q: Cocoa butter, which is solid at room temperature and melts at 34°C, has a specific gravity of 0.86.…

A: Given, Cocoa butter, which is solid at room temperature and melts at 34°C has a specific gravity of…

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A:

Q: (b) What average pressure (in Pa) from her weight is exerted on the horizontal surface if her two…

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Q: you went ice climbing with your friend and your friend slipped and is now hanging from a 100 m long…

A: To determine the total work done.

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A:

Q: The volume V = (4/3)πr3 of a sphericalballoon changes with the radius.By approximately how much does…

A: To find the rate at which the volume changes, you must find the derivative of the volume function.…

Q: 16 cm 46. T.A. = %3D 47. V=

A:

Q: A cone-shaped water reservoir is 10 feet in diameter across the top and 12 feet deep. If the…

A: We have to find the work

Q: A force of 3 pounds compresses a 15 inch spring a total of 3 inches. How much work (in ft-lbs) is…

A:

Q: A swimming pool is built in the shape of a rectangular parallelepiped 8 ft deep, 15 ft wide, and 20…

A: Given: A swimming pool is built in the shape of a rectangular parallelepiped 8 ft deep, 15 ft wide,…

Q: A force of 20 lb is required to hold a spring stretched 8 in. beyond its natural length. How much…

A: The force function is f(x)=kx ,where k is the spring constant and x be the spring stretch.

Q: The diameter of regulation bowling ball is 8.5 inches. What is the volume of a regulation bowling…

A:

Q: A force of 3 pounds compresses a 15 inch spring a total of 3 inches. How much work (in ft-lbs) is…

A:

Q: An electric elevator with a motor atthe top has a multistrand cable weighing 4.5 lb/ft. When the…

A: Given :             An electric elevator with a motor at the top has a multistrand cable…

Q: If the WORK required to stretch a spring 1 ft beyond its natural length is in ft-lb is needed to…

A: Introduction: The formula of work done from point a to b is given by, W=∫abkxdx Where is constant.

Q: A 1.6-oz golf ball is driven off the tee at a speed of 280 ft/sec (about 191 mph). How many…

A:

Q: It takes a force of 21,714 lb to compress acoil spring assembly on a New York City Transit Authority…

A:

Q: Calculate the total amount of material required to construct the crane boom: c1 = c2 = a = 10 cm b1…

A: Given, Here we shall use pythagorus theorem to determine the lengths of c1 and c2.

Q: A spnng requires 40 pounds of force to stretch it 2. 2 incnes bejond its na work is done in…

A: Force on the spring, F = kx where k = spring constant and x is the displacement from the mean…

Q: Calculate the length L of the hollow hexagon cylinder with closed ends with the thickness of 8 mm,…

A:

Q: Convert the unit of capacity. Use. 1 gal =4 gt and 1 qt =2 pt. Express your answer in exact simplest…

A: We have to convert the unit.

Q: This oblique cylinder has a volume of 90 m³ and a base area of 12 m². 12 What is the height of the…

A: Given, Volume of oblique cylinder V=90πm3 Base area is (B)=12πm3

Q: How much work is required to pump all the water over the top of a full cylindrical tank that is 2 m…

A:

Q: A 60m climbing rope was used in a tall building. How much work is performed in pulling the rope up…

A: Force function need to be constructed and then work done is calculated.

Q: the urinary output of a patient with an indwelling Foley catheter is 1400milliliters. How many…

A:

Q: A cylindrical swimming pool has a diameter of 32ft, the sides are 9ft high, and the depth of the…

A: Given: Depth=32ft nekgnt =9ft depth y= 7 ft weight of water =62.5

Q: A cubic block of wood has side length 1 m and mass 690 kg. What is the density of the wood in g/cm3?

A:

Q: Assume that a spring does not follow Hooke’s Law. Instead, theforce required to stretch the spring x…

A:

Q: The conical tank shown here is filled with olive oil weighing 49 lb/ft?. How much work does it take…

A: Given: To explain the given statement as follows, To find how much work does it take to pump all of…

Q: A cylinder has a base diameter of 16cm and a height of 19cm. What is its volume in cubic cm, to the…

A:

Q: If 150 mL of polyethylene glycol 400 weighs 74.1 g, what is its specific gravity? *

A: If 150 mL of polyethylene glycol 400 weighs 74.1 g, what is its specific gravity

Q: A small town purchased a 35 ft diameter cylindrical tank for potable water in the event of an…

A: Diameter of cylinder = 35ft h= height of tank Volume of cylinder is = πd2h4 Quantity of water per…

Q: The radius of a sphere increases at a rate of 6m/sec, then the rate at which the volume increases…

A: Let's find.

Q: Find the work done to haul the anchor and chain to the surface of the water from a depth of 35 ft.…

A: Given: An anchor weighing 115 lb in water is attached to a chain weighing 3 lb/ft in water. Find…

Q: The foundation for a cylindrical storage shed is a cylinder 13 m in diameter and 4 m high. How many…

A: Volume of cylinder = πr2h  r= radius of cylinder h= height of cylinder

Q: Josh finds that his new ball fits tightly inside his cylindrical can of diameter 6 inches and height…

A: Given that a new ball fits tightly inside his cylindrical can of diameter 6 inches and height 7…

Q: Find the Volume of the composite fngure. 2 ft 3 ft 4 ft V = T ft3

A:

Q: A bar under 88,000 psi stress is loaded by a 2000 pound load. What is the bar’s cross sectional…

A: Given data  Stress = 88,000 psi Load = 2000 pound

Q: A hollow steel door is 32 in. wide by 80 in. tall by 1 in. thick. How many cubic inches of foam…

A: Given: Width of door=32 in.Height of door=80 in.Thickness of door=138in. ……1

Q: h T 1

A: first we find radius of cone then find area of base of cone

Q: The volume of a ball is 768 cm and its density is 3.2 g/cm3. What is the mass of the ball? Round to…

A:

Q: A worker on a scaffolding 75 ft above the ground needs to lift a 550 lb bucket of cement from the…

A: Use work is equal to force into displacement

Q: 2. A 20-foot chain with density 4 lb/ft hangs off the roof of a building. How much work is required…

A: Given a 20 foot chain with density 4 lb/ft hangs off the roof of a building.

Q: LA volume of 185.5 cubic feet of concrete was used to make the section of a skateboard ramp shown.…

A: Given: V=185.5 cubic feet   The expression for the volume of the concrete section is: V=A×d Where,…

Q: The formula for the density of an object is d = ", where m is the mass and V is the т V volume.…

A:

Q: A steel cylindrical tank must hold 7110 gal of dyed water for a cloth process. Due to space…

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Q: The side of a cube increases at the rate of 10 m/sec. The rate at which the volume of the cube…

A:

Q: An anchor weighing 130lb in water is attached to a chain weighing 4lb/ft in water. Find the work…

A:

Q: The volume centims ter Find the dimensisy, if Hhe materidl used to make Hhe choco late box is…

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.