Question

The pump in a water tower raises water with a density of ρw = 1.00 kg/liter...

The pump in a water tower raises water with a density of ρw = 1.00 kg/liter from a filtered pool at the bottom of the tower up hT = 25 m to the highest point of the tower. The water begins at rest in the pool and comes to rest at the highest point of the tower. The pump is 100% efficient in lifting the water, and it raises a volume of Vw = 8.6 liters of water up the tower every second. The water tower sits on a hill that is Te = 45 m above sea level. Let gravitational potential energy be zero at ground level.

Part (a) Calculate the power, Pp in Watts, of the pump.

Part (b) If the pump runs for 2.7 hours, calculate the increase in the potential energy, ΔUw in J, of the water in the tower.

Part (c) The water tower, when full, holds 106 liters of water. Calculate the gravitational potential energy of the water, Uw in J, of a full water tower relative to sea level.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
1 a) Starting from rest, a 50 Kg person dives into water from a height of...
1 a) Starting from rest, a 50 Kg person dives into water from a height of 80 m above the water surface. Air resistance is negligible. (Use g= 10 m/s2) Calculate (A) the diver’s KE just before striking the water surface (B) the velocity of the diver just before striking the water (C) the work done by gravitational force on the diver (D) the power delivered by gravitational force on the diver b) A ball of mass m=0.2 Kg sitting...
A 2.5 kg rock is released from rest at the surface of a pond 1.8 m...
A 2.5 kg rock is released from rest at the surface of a pond 1.8 m deep. As the rock falls, a constant upward force of 4.4 N is exerted on it by water resistance. Let y=0 be at the bottom of the pond. Part A Calculate the nonconservative work, Wnc, done by water resistance on the rock, the gravitational potential energy of the system, U, the kinetic energy of the rock, K, and the total mechanical energy of the...
Q 11: One container holds 0.10 kg of water at 75 ∘C and is warmed to...
Q 11: One container holds 0.10 kg of water at 75 ∘C and is warmed to 95 ∘C by heating from contact with the other container. The other container, also holding 0.10 kg of water, cools from 35 ∘C to 15 ∘C. Specific heat of water is 4180 J/kg⋅∘C. Part A: Estimate the total change in entropy of two containers of water using the actual temperatures to determine the heat transferred to each container and the average temperatures to determine...
A 1.8 kg rock is released from rest at the surface of a pond 1.8 mm...
A 1.8 kg rock is released from rest at the surface of a pond 1.8 mm deep. As the rock falls, a constant upward force of 5.0 N is exerted on it by water resistance. Let y=0 be at the bottom of the pond. Part G Calculate the kinetic energy of the rock, KK, when the depth of the rock below the water's surface is 0.50 mm. Express your answers using two significant figures. Part H Calculate the total mechanical...
ch 6 1: It is generally a good idea to gain an understanding of the "size"...
ch 6 1: It is generally a good idea to gain an understanding of the "size" of units. Consider the objects and calculate the kinetic energy of each one. A ladybug weighing 37.3 mg flies by your head at 3.83 km/h . ×10 J A 7.15 kg bowling ball slides (not rolls) down an alley at 17.5 km/h . J A car weighing 1260 kg moves at a speed of 49.5 km/h. 5: The graph shows the ?-directed force ??...