DUE AT MIDNIGHT PLEASE HELP Calculus
posted by Cait .
A trough is 5 meters long, 1 meters wide, and 4 meters deep. The vertical crosssection of the trough parallel to an end is shaped like an isoceles triangle (with height 4 meters, and base, on top, of length 1 meters). The trough is full of water (density 1000 kg/m3 ). Find the amount of work in joules required to empty the trough by pumping the water out of an outlet that is located 3 meters above the top of the tank. See problem 21, page 464 of the text for a diagram of this trough configuration. (Note: Use g=9.8 m/s2 as the acceleration due to gravity.)

DUE AT MIDNIGHT PLEASE HELP Calculus 
Steve
work = force * distance
force = gm
consider thin sheets of water of area 5*(y/4) where y/4 is the width across the tank at depth y
So, the weight of the sheet of volume dV is 1000kg/m^3 * 9.8N/kg * 5(y/4)dy m^3 = 12250y * dy N
Work = Int[0,4] 12250y dy
= 6125 y^2 [0,4]
= 98000N
Check my math. . . 
Calculus  PS 
Steve
My bad. The water sheet at height y needs to be lifted (4y)m. Make the fix and recalculate it.
Respond to this Question
Similar Questions

Calculus
A trough is 5 meters long, 1 meters wide, and 4 meters deep. The vertical crosssection of the trough parallel to an end is shaped like an isoceles triangle (with height 4 meters, and base, on top, of length 1 meters). The trough is … 
Calculus
A trough is 5 meters long, 1 meters wide, and 4 meters deep. The vertical crosssection of the trough parallel to an end is shaped like an isoceles triangle (with height 4 meters, and base, on top, of length 1 meters). The trough is … 
calculus
A trough is 10 feet long and 1 foot high. The vertical crosssection of the trough parallel to an end is shaped like the graph of y=x10 from x=−1 to x=1 . The trough is full of water. Find the amount of work in footpounds required … 
Calculus
A trough is 3 feet long and 1 foot high. The vertical crosssection of the trough parallel to an end is shaped like the graph of x^2 from 1 to 1 . The trough is full of water. Find the amount of work required to empty the trough by … 
Calculus
A water trough is 6 m long, and its crosssection has the shape of an isosceles trapezoid that is 20 cm wide at the bottom, 50 cm wide at the top and 40 cm high. If the trough is being filled with water at the rate of 0.2 cubic meters/min, … 
Math
A trough is 8 meters long, 3 meters wide, and 5 meters deep. The vertical crosssection of the trough parallel to an end is shaped like an isoceles triangle (with height 5 meters, and base, on top, of length 3 meters). The trough is … 
I NEED HELP PLEASE
A trough is 8 meters long, 3 meters wide, and 5 meters deep. The vertical crosssection of the trough parallel to an end is shaped like an isoceles triangle (with height 5 meters, and base, on top, of length 3 meters). The trough is … 
calculus/physics
A trough is 2 feet long and 1 foot high. The vertical crosssection of the trough parallel to an end is shaped like the graph of y=x10 from x=−1 to x=1. The trough is full of water. Find the amount of work required to empty the … 
calculus
A trough is 9 feet long and 1 foot high. The vertical crosssection of the trough parallel to an end is shaped like the graph of y=x4 from x=−1 to x=1 . The trough is full of water. Find the amount of work in footpounds required … 
Calculus
A rectangle trough is 8 meters long, 2 meters across at the top, and 4 meters deep. If water flows in at the rate of 2 cubic meters per minute, how fast is the surface rising when the water is 1 meter deep?