A trough is 12m long, 5m wide, and 2m deep. The vertical cross-section of the trough parallel to an end is shaped like an isoceles triangle (with height 2m, and base, on top, of length 5m). The trough is full of water (density 1000kg/m^3 and g=9.8m/s^2is the acceleration due to gravity). a) Find the amount of work in joules required to empty the trough by pumping the water over the top. b.Find the amount of work in joules required to empty the trough by pumping the water out of a spout 3m high.

Q: A trough is 4 m long, 5 m wide, and 2 m deep. The vertical cross-section of the trough parallel to…

A:

Q: The work performed as a function of time for a certain process is given by: W = at³, where a = 2…

A:

Q: You have your textbook and pen with you while working on this exam. Assume the height of your…

A: Given Data : The height of the desk is given as H = 1m. The mass of the book is given as mb. The…

Q: 1. Emma pushes a 45.0kg box across a level floor with an applied force of 153N [30° above…

A: Work-done by applied Force: W = F.d = F*d*cos theta F_app = applied Force = 155 N d = displacement =…

Q: A pump is required to lift 800 kg of water per minute from a well 16.0 m deep and eject it with a…

A: Given: Weight of water: m=800 [kg] Height: h=16 [m] Speed of ejecting out: v=15 [m/s]

Q: A trough is 2 meters long, 2 meters wide, and 4 meters deep. The vertical cross-section of the…

A: Find the amount of work in joules required to empty the trough by pumping the water over the top.…

Q: An object in a horizontal surface was moved by applying a constant force (in Newtons), F = 8î + 5ĵ.…

A:

Q: Find the work done by pumping all the oil (density = 794.6 km / m³) over the edge of a cylindrical…

A: consider a cylindrical strip of radius r at a distance x whose thickness is dx, The force acting on…

Q: e centroid method

A:

Q: You push a supermarket cart 23.5 m at constant speed on level ground, against a 32.3 N frictional…

A: 35.776N force exert on the cart in N.

Q: Find the work done in joules by gravity as an object of the mass m=5 kg is raised up at constant…

A: Given : m = 5 kg h1 = 23 m h2 = 69 m g = 10 m/s2

Q: A truck is carrying 1.35 tonne of calcium carbonate to a sugar industry located on top of the hill.…

A: SOlution: Given that mass of CaCO3 = 1.35 Tonne U at halway mark is = 689 kJ h = 25 m

Q: Ex 12 : Calculate the work done in blowing a soap bubble of radius 0.5 cm. Surface tension of soap…

A: Radius of soap bubble r = 0.5 cm = 0.005 m Surface tension of soap solution is T = 2.5 × 10- 3 N/m

Q: O. 14 : Work done in blowing a soap bubble of diameter 2 cm, is (S.T. = 3 x 10-² N/m) (a) 7.54 x 10…

A: To find-Work done (W)=?Given-Diameter of soap bubble D=2 cmRadius =D2=22=1 cmRadius(r)=1×10-2…

Q: A tank in the shape of an inverted right circular cone has height 5 meters and radius 2 meters. It…

A: GivenA tank in the shape of an inverted right circular cone Height, h=5 mRadius , r=2 mTank is…

Q: A tank has the shape of an inverted right circular cone with height 9m and radius 19m. It is filled…

A: The radius of the right circular cone a =19 m. The height of the right circular cone b =9 m. The…

Q: A hydroelectric power facility converts the gravitational potential energy of water behind a dam to…

A: Given data: The mass of water is m=4.3×1013 kg. The average height of dam is h=37.0 m.

Q: tank in the shape of a right circular cone, apex down, is filled with olive oil weighing 45lbs/ft^3.…

A:

Q: A spherical tank of diameter 6 m is full of water. Set-up the integral for the work done in pumping…

A:

Q: 18. A 100-g bullet is fired from a rifle having a barrel 0.600 m long. Choose the origin to be at…

A:

Q: A vertical right circular cylindrical tank measures 32 ft high and 18 ft in diameter. It is full of…

A:

Q: A pump is driven by a motor with an output rating of 12 kW (that is, the motor will provide 12 kW of…

A:

Q: A spring has natural length 24 cm. Compare the work (in J) W, done in stretching the spring from 24…

A:

Q: Sam lifts a box with a weight of 12 N to a height of 2 meters. (E-S-A is only necessary for Part…

A:

Q: A leaky 10-kg bucket is lifted from the ground to a height of 12 m at a constant speed with a rope…

A:

Q: A tank in the shape of an inverted right circular cone has height 6 meters and radius 4 meters. It…

A:

Q: poamany A tank in the shape of an inverted right circular cone has height 6 meters and radius 4…

A: The work(W) required to empty the tank by pumping the hot chocolate over the top of the tank. given,…

Q: The lowest point in Death Valley is 85 m below sea level. Thesummit of nearby Mt. Whitney has an…

A: Calculate the distance of the hiker from the floor of the Death Valley to the top of Mt. Whitney.

Q: How much work is done by the gravitational force when a 175 kg pile driver falls 4.0m?

A: Work done by force F in moving object distance d is given by,  W =F.d = F×d×cosθ Where, θ is the…

Q: For exercise, an athlete lifts a barbell that weighs 400 N from the ground to a height of 2.20 m at…

A: Given data:  Weight (mg) = 400 N Height (h) = 2.20 Time (t) = 1.60 s Required: The metabolic energy…

Q: A single conservative force acts on a 5.10-kg particle within a system due to its interaction with…

A:

Q: An aquarium 12m long, 2m wide, and 7m deep is full of water. The density of water is 1000kg/m^3 and…

A:

Q: How much work is done by gravity when dead lifting a 100.0 kg barbell 81.54 cm from the floor to hip…

A:

Q: 4. A 13m high water tank has the shape of an inverted pyramid, with base b=7m, and is filled with…

A:

Q: A 7.80-g bullet moving at 460 m/s penetrates a tree trunk to a depth of 4.90 cm. (a) Use work and…

A:

Q: Ex. 73 A wire 2.5 m long and diameter 0.8 mm is stretched by a load 10 N. Find the work done if Y is…

A: To find-Work done=?Given-L=2.5 mD=0.8 mm=0.8×10-3mr=4×10-4 mF=10 NY=2×1011 N/m2A=πr2=π×16×10-8 m2

Q: A car requires 170kiloJoules to accelerate from 23m/s to 28m/s. If this happens over 2 seconds, what…

A: Power is defined as the rate of doing work. Power is a scalar quantity and the SI unit of power is…