A tank has the shape of an inverted right circular cone with height 9m and radius 18m. It is filled with 5m of hot chocolate. Assume that the density of the hot chocolate is 1450kg/m^3 and g=9.8m/s^2. Find the work required to empty the tank by pumping the hot chocolate over the top of the tank. Work =  Joules.

Explorers in the jungle find an ancient monument in the shape of a large isosceles triangle as shown in the figure below. The monument is made from tens of thousands of small stone blocks of density 3 293 kg/m. The monument is 14.0 m high and 64.0 m wide at its base and is everywhere 2.50 m thick from front to back. Before the monument was built many years ago, all the stone blocks lay on the ground. How much work did laborers do on the blocks to put them in position while building the entire monument? Note: The gravitational potential energy of an object-Earth system is given by U, = Mgy CM, where M is the total mass of the object and yCM is the elevation of its center of mass above the chosen reference level.

Suppose that in one year a country produces 2.77 × 10'' kilowatt-hours (kWh) of electrical energy from 4148 hydroelectric plants (1.00 kWh = 3.60 × 10° J). On average, each plant is 90.0% efficient at converting mechanical energy to electrical energy, and the average dam height is 50.0 m. At 2.77 x 10!1 kWh of electrical energy produced in one year, what is the average power output Payg per Pavg W %3D hydroelectric plant? What total mass of water m flowed over the dams during that year? m = kg What was the average mass of water mavg per dam that provided the mechanical energy to generate the electricity? mavg kg What was the average volume of water Vavg per dam that provided the mechanical energy to generate the electricity? (The density of water is 1000 kg/m³.) Vavg m %3D A gallon of gasoline contains 4.50 × 10' J of energy. How many gallons n of gasoline did the 4148 dams save? n = gal MacRook Pro

A student is riding a bicycle at a constant speed of 4.36 m/s on a level road. The mass of the student and bicycle together is 76.5 kg. Assume the friction and drag is 40.6 N. What is the student's metabolic power, in Watts? Use g = 10.0 m/s2.

When the Glen Canyon hydroelectric power plant in Arizona is running at capacity, 690 m3 of water flows through the dam each second. The water is released 220 m below the top of the reservoir. If the generators that the dam employs are 90% efficient, what is the maximum possible electric power output?

Steel ball with radius of 0.11 m lays on a bottom of the lake 4 m deep. What work is needed to lift the ball to the surface of the lake? Density of steel  is 7860kg/m3. The volume of a sphere is  Use g = 9.8 m/s2 Calculate answer to two decimals.

Work is the product of the distance an object moves and the force that causes this movement. In the SI system, the unit for the force is a ______ and the unit for distance is a _________ , so that the unit of work is the ___________  .

The tank shown is full of water. Given that water weighs 62.5 lb/ft and R= 9, find the work required to pump the water out of the tank. Rft hemisphere Select the correct answer. 1) 321,061 ft-lb 2) 322,062 ft-lb 3) 322,082 ft-lb 4) 321,952 ft-lb 5) 321,062 ft-lb

Find the work done by pumping all the oil (density = 794.6 kg / m³) over the edge of a cylindrical tank, which is resting on one of its bases. Suppose the radius of the base is 1.2 m, the height is 3.0 m, and the tank is full of oil. ans. 158687.4008 J

Steel ball with radius of 0.13 m lays on a bottom of the lake 6 m deep. What work is needed to lift the ball to the surface of the lake? Density of steel  is 7860kg/m3. The volume of a sphere is  Use g = 9.8 m/s2 Calculate answer to two decimals.