Loading Solution   
Paul's Online Math Notes
Calculus I (Practice Problems) / Applications of Integrals / Work   [Notes] [Practice Problems] [Assignment Problems]

Calculus I - Practice Problems
Integrals Previous Chapter   Next Chapter Extras
More Volume Problems Previous Section   Next Section Extras (Introduction)

 

1. A force of , x is in meters, acts on an object.  What is the work required to move the object from  to ? [Solution]

 

2. A spring has a natural length of 18 inches and a force of 20 lbs is required to stretch and hold the spring to a length of 24 inches.  What is the work required to stretch the spring from a length of 21 inches to a length of 26 inches? [Solution]

 

3. A cable that weighs  kg/meter is lifting a load of 150 kg that is initially at the bottom of a 50 meter shaft.  How much work is required to lift the load  of the way up the shaft? [Solution]

 

4. A tank of water is 15 feet long and has a cross section in the shape of an equilateral triangle with sides 2 feet long (point of the triangle points directly down).  The tank is filled with water to a depth of 9 inches.  Determine the amount of work needed to pump all of the water to the top of the tank.  Assume that the density of water is 62 lb/ft3. [Solution] 

 

Problem Pane
More Volume Problems Previous Section   Next Section Extras (Introduction)
Integrals Previous Chapter   Next Chapter Extras

Calculus I (Practice Problems) / Applications of Integrals / Work    [Notes] [Practice Problems] [Assignment Problems]

© 2003 - 2017 Paul Dawkins