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When an object is located a distance of x feet from the origin, a force of x2+3x  pounds is acting on it. How much work (in ft-lbs) is required to move the object from x=1 to x=4?

When an object is located a distance of x feet from the origin, a force of x2+3x  pounds is acting on it. How much work (in ft-lbs) is required to move the object from x=1 to x=4?

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter7: Triangles
Section7.1: The Law Of Sines
Problem 42PS
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A) When an object is located a distance of x feet from the origin, a force of x2+3x  pounds is acting on it. How much work (in ft-lbs) is required to move the object from x=1 to x=4?

B) A tank that is 5 feet deep, with a square bottom with sides 4 feet each, has 2 feet of water that weighs 62.3 lb/ft3 in it. How much work (in ft-lbs) will it take to pump the water pump the water up and out of the tank?

 
C) Suppose it takes a force of 30 N to hold a spring that has been stretched from its natural length of 6 cm to a length of 8 cm.
How much work (in J) is done in stretching the spring from 7 cm to 9 cm?
Note: Enter your answer without the use of commas. Round to the nearest integer.
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