A circular swimming pool has a diameter of 12 m, the sides are 4 m high, and the depth of the water is 3 m. How much work (in Joules) is required to pump all of the water over the side? (The acceleration due to gravity is 9.8 and the density of water is 1000 $2 m kg m³ .)

A tank is shaped like an inverted cone, is a quarter full of water, and has a radius of 6 meters and a height of 30 meters. Find work needed to pump the water from the tank. Use density of water 1000 kg/m^3 and g=9.8 m/s.

A stick of butter has dimensions 130 mm × 30 mm × 30 mm and density pt = 870 kg/m³. It is placed in a bowl of cool water and floats with its long side oriented horizontally. What volume of butter is submerged? (As always, drawing a force diagram is a great first step.) What is the smallest amount of mass m you must place on top so that the butter becomes fully submerged? Suppose that the stick is balanced very delicately so that it floats with its long side oriented vertically. How would this change your answers above?

Hoover Dam on the Colorado River is the highest dam in the United States at 221 m, with an output of 1300 MW. The dam generates electricity with water taken from a depth of 104 m and an average flow rate of 675 m3/s. (a)Calculate the power in this flow in watts.    W   (b)What is the ratio of this power to the facility's average of 680 MW?

A rectangular aquarium having a length of 3meters, a width of 1 meter, and a height of 2meters is filled to the top with water. Giventhat water has a density of 1000 kg per ?^3,find the work required to pump all of thewater over the top edge of the tank.

A tank is full of water. Find the work W required to pump the water out of the spout. (Use 9.8 m/s² for g. Use 1000 kg/m³ as the weight density of water.) |--4m+ W = 3 m † 4 m ↓ 9 m

Hoover Dam on the Colorado River is the highest dam in the United States at 221 m, with an output of 1300 MW. The dam generates electricity with water taken from a depth of 105 m and an average flow rate of 670 m3/s. (a) Calculate the power in this flow in watts. (b) What is the ratio of this power to the facility's average of 680 MW?

The tank shown contains water to a level1 meter from the top. The tank is 3-meter wide at the top, and it has a depth of 3 meter and a length of 8 meter. Find the work required to pump all the water out of the spout, 2 meter above the top of the tank (the density of p = 1000; acceleration due to gravity at the earth's surface is 9.8) 14. kg and the m3 m TA十al

A pump is used to empty a 5600 L wading pool. The water exits the 2.0-cm-diameter hose at a speed of 2.2 m/s . How long will it take to empty the pool?

Water flows at 1 m/s from a hot water heater, through a 410 kPa pressure regulator. The pressure in the pipe supplying an upstairs bathtub 3 m above the heater is 350 kPa. What’s the speed in this upstairs pipe? (Numerical answer is assumed to be in m/s)