A trough is 5 meters long and 1 meter high. The vertical cross-section of the trough parallel to an end is shaped like the graph of y = x from x = -1 to x = 1. The trough is full of water. Find the amount of work (in joules) required to empty the trough by pumping the water over the top. (The acceleration due to gravity is 9.8 and the density of water is 1000 kg m³ m s²

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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A trough is 5 meters long and 1 meter high. The vertical cross-section of the trough parallel to an end is
shaped like the graph of y = x from x = -1 to x = 1. The trough is full of water. Find the amount of
work (in joules) required to empty the trough by pumping the water over the top. (The acceleration due to
gravity is 9.8
and the density of water is 1000
kg
m³
m
s²
Transcribed Image Text:A trough is 5 meters long and 1 meter high. The vertical cross-section of the trough parallel to an end is shaped like the graph of y = x from x = -1 to x = 1. The trough is full of water. Find the amount of work (in joules) required to empty the trough by pumping the water over the top. (The acceleration due to gravity is 9.8 and the density of water is 1000 kg m³ m s²
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