A pump needs to lift 540 litres of water per minute to a height of 10.9 m. What is the minimum power output (in kW) needed from the pump [round your final answer to zero decimal places]? {1 litre of water has a mass of 1 kg}

A pump needs to lift 540 litres of water per minute to a height of 10.9 m. What is the minimum power output (in kW) needed from the pump [round your final answer to zero decimal places]? {1 litre of water has a mass of 1 kg}

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter10: Work, Energy And Machines

Section10.1: Work And Energy

Problem 12PP

See similar textbooks

Related questions

Q: You are using a 3 horsepower motor to lift a 45 kg package. How high can the package be lifted in 1…

A: The given data are: m=45 kgP=3 hp=2238 Wt=1 min=60 s Here, m denotes the mass, P denotes the power,…

Q: Calculate the required power to pump 972 kg of water up to the tank at the height of 22 from the…

A: Given in question - Mass of the water (m) = 972 Kg Height of tank…

Q: A transport truck driving at a constant speed of 84.6 km/hr on a flat stretch of highway must…

Q: A mass of 50 tonnes is to be pulled up a smooth plane having an inclination of 1 in 50. Find the…

A: Given:- M=50 tonnesMass, M=50 tonnes=50×103kgdistance traveled, S=2meterInclination angle, tan…

Q: A bag of wheat weight 320 kg. To what height should it be raised so that potential energy is 6790J?…

A: Given data : Acceleration due to gravity = g Potential energy…

Q: The human heart is a powerful organ. If your heart can take in and discharge about 6773.2 liters of…

A: Given Volume of blood , V = 6773.2 L Density of blood , D = 1.06 kg/L Height lift ,H = 1.7 m Time…

Q: a pump can discharge about 181 liters of water in one day. This work done by the pump is equal to…

A: Given data: The amount of water pumped per day, V=181 L. The height of the person for which the…

Q: The work done against gravity in taking 5000 grams mass at 39.37 inches height in 1 sec will be

A: Work done is required to pull up a mass of m kg in height 'h' is= mgh Here, g=gravitational constant…

Q: How much power does it take to lift a 49kg person a 5m vertical distance in 20s?

A: Given: mass, m = 49 kg height, h = 5 m time, t = 20 s

Q: A transport truck driving at a constant speed of 83.7 km/hr on a flat stretch of highway must…

A: Given, Speed of truck, v = 83.7 km/h Force required to overcome friction, F = 2,893 N Power…

Q: How much work is done against gravity in lifting a 9 kg object through a vertical distance of 55 cm?…

A: Expression for force applied to lift the object - F=mg Where m=Mass=9 kg g=Acceleration due to…

Q: How long will it take a 742-kg car with a useful power output of 43.2 hp (1 hp equals 746 W) to…

A: Mass of car (M) = 742 kg Output power of car = 43.2 hp Power (P) = 43.2(746W) = 32227.2 W Speed…

Q: A man pushes a lawn mower on a level lawn with a force of 200 N. If 31% of this force is directed…

A: Given: The force F = 200 N. The power P = 63 W. The distance d = 4.7 m.

Q: Calculate the work done by a 47 N force pushing a 0.025 kg pencil 0.25 m against a force of 23 N.

A: Given Data : The force applied to move the pencil is given as F = 47 N. The mass of the pencil is…

Q: How long will it take a 921-kg car with a useful power output of 57.6 hp (1 hp equals 746 W) to…

Q: A barrel weighing 250 lbs is suspended by a rope 30 ft long. How much work is necessary to hold the…

Q: Suppose your mass is 83.5 kg and you climb 40 stairs of height 18 cm in 16.0 s. What is your power…

A: (given) Mass = 83.5 kg Total distance =…

Q: A force of 4 pounds is required to hold a spring stretched 0.3feet beyond its natural length. How…

Q: How long will it take a 751-kg car with a useful power output of 57.5 hp (1 hp equals 746 W) to…

Q: A patient’s heart pumps 5.00 L of blood per minute into the aorta, which has a diameter of 1.80 cm.…

A: Solution: Given Values, Heart pump rate =5.0 L/min =5000/60 cm3/s =83.33 cm3/s Diameter (d)=1.80…

Q: A pump needs to lift 504 litres of water per minute to a height of 12.2 m. What is the minimum…

A: Given that Mass flow rate of water by pump ( dm/dt ) = 504 Litre / mint Water lifted upto the height…

Q: A transport truck driving at a constant speed of 87 km/hr on a flat stretch of highway must produce…

Q: How much net work must be done to accelerate a 1000 kg 20 m / s to 30 m / s?

A: According to the work energy theorem, the work done must be equal to the change in kinetic energy.…

Q: Calculate the work needed to lift a 20 kg sack of rice vertically at 6-5 m ?

Q: How much work is done by a person lifting a 4.1 kg object from the bottom of a well at a contact…

A: Given Data: The mass of an object is, m=4.1 kg The contact speed is, v=2.2 m/s The time required for…

Q: What work is done on a level track in bringing the velocity of a train weighing 200 tons from zero…

Q: How much work is done by gravity in causing a 45-kg rock to tumble 54 m down a slope at an angle of…

A: mass of the rock, m = 45 kg distance that rock travels, d = 54 m angle of slope with vertical,= 48…

Q: A force of 1 pounds is required to hold a spring stretched 0.4 feet beyond its natural length. How…

A: Given : F1=1 pounds x1=0.4 feet x2=07 feet In this question we have to find the work done in…

Q: Water is pumped steadily out of a flooded basement at 5.0 m/s through a hose of radius 1.0 cm,…

A: Power of the pump = Rate at which potential is imparted to water

Q: What is your average power if you lift a 36.1 kg box at a constant speed to a height of 1.31 m in…

A: Calculate the work required for the to lift the mass. W = increase in potential energy of the mass…

Q: An electric motor driven conveyor belt is required to take 2,200 pounds of dirt, rocks, etc. per…

A: A conveyor belt takes 2200 pounds per minute and raises it by 15ft. 2200 pounds (m) = 997.9 kg…

Q: What average power does a weight lifter need to lift 225 lb a distance of 4 ft in 1.0 s?

A: The average power output of the weight lifter who can lift the given mass is P=1200W. Power is the…

Q: A man can manage a power output of 180. How long will it take him to lift the a 40 kg box to a…

Q: What is the average power supplied by a 60 kg person running up a flight of stairs a vertical…

A: The person’s average power can be determined as, Here, W and t represent the work done and the…

Q: A force of 4.66 x 109 N was required to move a building block 1.65 x 107 mm. Calculate how much…

A: Force (F) = 4.66×109 N Distance moved (d) = 1.65×107 mm time (t) = 11.2 seconds

Q: A force of 4 pounds is required to hold a spring stretched 0.2 feet beyond its natural length. How…

Q: vertically

A: The total amount of work done per unit of time is termed as power. Power is defined as the rate at…

Q: A force of 1 pounds is required to hold a spring stretched 0.2 feet beyond its natural length. How…

A: Given Force, F = 1 lb Stretching distance from its natural length , x = 0.2 ft From Hooke's law-…

Q: How do I set this problem up? What average power does a weightlifter need to lift 225 lb a distance…

A: The average power is given as P = W/t where W is the work done and…

Q: What power does a pump develop to lift 35 liters of water per minute from a depth of 110 meters? (A…

A: Power P = 629 watt

Q: A bag of wheat weight 430 kg. To what height should it be raised so that potential energy is 7790J?…

A: Given data : Acceleration due to gravity = g Potential…

Q: How much work does it take to lift a 30.0 N bag 10.0 m high in 5.00 s?

Q: A force of 7 pounds is required to hold a spring stretched 0.6 feet beyond its natural length. How…

A: The required force to stretch the spring by ∆x = 0.6 ft is F1 = 7lb so by the spring force law i.e.…

Q: An engine develops 45 kw of power. How much time does it take to lift 550 kg to a height of 50 m ?

A: Given: The power developed by the engine is 45 kW. The mass of the object is 550 kg. The height of…

Question

A pump needs to lift 540 litres of water per minute to a height of 10.9 m. What is the minimum power output (in kW) needed from the pump [round your final answer to zero decimal places]?

{1 litre of water has a mass of 1 kg}

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

A cyclist in a race must climb a 5 hill at a speed of 8 m/s. If the mass of the bike and the biker together is 80 kg, what must be the power output of the biker to achieve the goal?
Can the power expended by a force be negative?
What is the dominant factor that affects the speed of an object that started from rest down a frictionless incline if the only work done on the object is from gravitational forces?
. A particular hydraulic pile driver uses a ram with a mass of 1040 kg. If the maximum pile energy is 11,780J, how high must the ram he raised to achieve this value? Assuming it takes 0.62 s for the pile driver’s winch motor to raise the ram at a constant speed to this height, what is the power output by the motor in completing this task? Express your answer in both watts and horsepower.
Calculate the power output needed for a 950-kg car to climb a 2.00 slope at a constant 30.0 m/s while encountering wind resistance and friction totaling 600 N.
What average power is generated by a 70.0-kg mountain climber who climbs a summit of height 325 m in 95.0 min? (a) 39.1 W (b) 54.6 W (c) 25.5 W (d) 67.0 W (e) 88.4 W
Cite two examples in which a force is exerted on an object without doing any work on the object.
A certain automobile engine delivers 2.24 104 W (30.0 hp) to its wheels when moving at a constant speed of 27.0 m/s ( 60 mi/h). What is the resistive force acting on the automobile at that speed?
A mouse of mass 200 g falls 100 m down a vertical mine shaft and lands at the bottom with a speed of 8.0 m/s. During its fall, how much work is done on the mouse by air resistance?
A 500-kg dragster accelerates from rest to a final speed of 110 m/s in 400 m (about a quarter of a mile) and encounters an average frictional force of 1200 N. What is its average power output in watts and horsepower if this takes 7.30s?
Check Your Understanding Estimate the power expended by a weightlifter raising a 150-kg barbell 2 m in 3 s.