The rectangular tank shown here, with its top at ground level, is used to catch runoff water. Assume that the water weighs 62.5 lb/ft³.a. How much work does it take to empty the tank by pumping the water back to ground level once the tank is full?b. If the water is pumped to ground level with a (4/11)-horsepower (hp) motor (work output 200 ft-lb/sec), how long will it take to empty thetank (to the nearest minute)?c. Show that the pump in part (b) will lower the water level 10 ft (halfway) during the first 53 minutes of pumping.d. What are the answers to parts (a) and (b) in a location where water weighs 62.36 lb/ft³? 62.62 lb/ft³?a. Set up an integral to find the work done.W =Groundlevel12 ft02017 ft

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The rectangular tank shown here, with its top at ground level, is used to catch runoff water. Assume that the water weighs 62.5 lb/ft³. a. How much work does it take to empty the tank by pumping the water back to ground level once the tank is full? take to empty the b. If the water is pumped to ground level with a (4/11)-horsepower (hp) motor (work output 200 ft-lb/sec), how long will tank (to the nearest minute)? c. Show that the pump in part (b) will lower the water level 10 ft (halfway) during the first 53 minutes of pumping. d. What are the answers to parts (a) and (b) in a location where water weighs 62.36 lb/ft³? 62.62 lb/ft³? a. Set up an integral to find the work done. W= Ground 12 ft level o 20 17 ft

The rectangular tank shown here, with its top at ground level, is used to catch runoff water. Assume that the water weighs 62.5 lb/ft³. a. How much work does it take to empty the tank by pumping the water back to ground level once the tank is full? take to empty the b. If the water is pumped to ground level with a (4/11)-horsepower (hp) motor (work output 200 ft-lb/sec), how long will tank (to the nearest minute)? c. Show that the pump in part (b) will lower the water level 10 ft (halfway) during the first 53 minutes of pumping. d. What are the answers to parts (a) and (b) in a location where water weighs 62.36 lb/ft³? 62.62 lb/ft³? a. Set up an integral to find the work done. W= Ground 12 ft level o 20 17 ft

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter3: Polynomial Functions

Section3.5: Mathematical Modeling And Variation

Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...

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