# calculus/physics

A trough is 2 feet long and 1 foot high. The vertical cross-section 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 trough by pumping the water over the top. Note: The weight of water is 62 pounds per cubic foot. Your answer must include the correct units. (You may enter lbf or lb*ft for ft-lb.)

I got 5194.10 and 81.158 and both were wrong, I am so stuck I have been working on this question for over an hour!!!! and the assignment is due at midnight, please help!!!!

1. 👍 0
2. 👎 0
3. 👁 432
1. I do not know what
y = x10 means

Whatever the function is you must find the distance from the top (y =1) down to the centroid, which is the center of mass of the water. That is the distance you have to lift the water, call it h.

Then find the volume V , the area times 2 feet.

work = 62 lbs/ft^2 * volume in ft^3 * h

1. 👍 0
2. 👎 0
posted by Damon
2. typo, 62 lbs/ft^3

1. 👍 0
2. 👎 0
posted by Damon

## Similar Questions

1. ### Calculus

A trough is 3 feet long and 1 foot high. The vertical cross-section 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

asked by Ryan on September 29, 2012
2. ### calculus

A trough is 9 feet long and 1 foot high. The vertical cross-section 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 foot-pounds

asked by Catherine on January 29, 2015
3. ### calculus

A trough is 10 feet long and 1 foot high. The vertical cross-section 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 foot-pounds

asked by Caitlyn on February 27, 2012
4. ### calculus

6. A trough is in the shape of a triangular prism. It is 5 feet long and its vertical cross sections are isosceles triangles with base 2 feet and height 3 feet. Water is being siphoned out of the trough at the rate of 2 cubic feet

asked by fareha on December 4, 2011
5. ### calculus

the cross section of a 5-ft long trough is an isosceles trapezoid with a 2 foot lower base, a 3-foot upper base, and an altitude of 2 feet. water is running into the trough at a rate of 1 cubic foot per minute. how fast is the

asked by rachel on October 16, 2011
6. ### Calculus

A trough is triangular in cross section, an isosceles triangle with sides of 12 inches, and a top of 10 inches. The trough is 40 inches long. How fast is the depth changing if you are pumping one cubic foot per minute into the

asked by Reggie on December 4, 2012
7. ### math

The trough is in the shape of a triangular prism. It is 5 ft long and its vertical cross sections are isosceles triangles with base 2ft and height 3ft. Water is being siphoned out of the trough at the rate of 2 cubic feet per

asked by LOKAA on November 14, 2010
8. ### math

The trough is in the shape of a triangular prism. It is 5 ft long and its vertical cross sections are isosceles triangles with base 2ft and height 3ft. Water is being siphoned out of the trough at the rate of 2 cubic feet per

asked by LOKAA on November 14, 2010
9. ### Calculus

A trough is 5 meters long, 1 meters wide, and 4 meters deep. The vertical cross-section 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

asked by Caitlyn on February 27, 2012