Explanation Work is defined as the amount of energy needed to perform any physical task. If constant force is applied, then the work is simply given by the following equation W = F × d Where W = W o r k d o n e F = C o n s t a n t F o r c e d = d i s t a n c e t h r o u g h w h i c h t h e f o r c e a c t s If the force applied is not constant and changes over time, then integral equation is used to calculate the work done. W = ∫ x = a x = b f ( x ) d x Where, W = W o r k d o n e f ( x ) = f o r c e a s a f u n c t i o n o f d i s t a n c e x = d i s t a n c e t h r o u g h w h i c h t h e f o r c e a c t s Given: Given a rectangular tank having dimensions as 8 m, 4 m and 5 m. Also, Density of water is 1000 k g / m 3 Formula Used: We know that force is given as F = m a or F = m g , where is acceleration due to gravity. Also, Mass, m = V D , where V is the volume of the object and d is the density. Thus, force is given as F = D V g Calculation: Let us place the origin on the top of the rectangular box, such that positive y-axis points downward...

3rd Edition

ISBN: 9781464125263

Author: Jon Rogawski, Colin Adams

Publisher: W.H. Freeman & Co

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Chapter 6.5, Problem 24E

To determine

The work done (in Joules) required for pumping half of the water out of the tank if the density of the water is $1000 k g / m^{3}$ . Given that the tank has the rectangular shape and water exits from the small hole at the top. Also, the tank is full of water.

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Chapter 6.5, Problem 23E

Chapter 6.5, Problem 25E

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Chapter 6 Solutions

Calculus - Standalone book

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The work done (in Joules) required for pumping half of the water out of the tank if the density of the water is 1000 k g / m 3 . Given that the tank has the rectangular shape and water exits from the small hole at the top. Also, the tank is full of water.

Solution Summary: The author explains the work done for pumping half of the water out of a rectangular tank if the density of water is 1000 k g / m 3.

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The work done (in Joules) required for pumping half of the water out of the tank if the density of the water is $1000 k g / m^{3}$ . Given that the tank has the rectangular shape and water exits from the small hole at the top. Also, the tank is full of water.

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Chapter 6 Solutions

The work done (in Joules) required for pumping half of the water out of the tank if the density of the water is 1000 k g / m 3 . Given that the tank has the rectangular shape and water exits from the small hole at the top. Also, the tank is full of water.

Solution Summary: The author explains the work done for pumping half of the water out of a rectangular tank if the density of water is 1000 k g / m 3.

Videos

The work done (in Joules) required for pumping half of the water out of the tank if the density of the water is 1000 kg/m3. Given that the tank has the rectangular shape and water exits from the small hole at the top. Also, the tank is full of water.

Want to see the full answer?

Chapter 6 Solutions

The work done (in Joules) required for pumping half of the water out of the tank if the density of the water is $1000 k g / m^{3}$ . Given that the tank has the rectangular shape and water exits from the small hole at the top. Also, the tank is full of water.