RedAssign8[1].2 - the force. So pushing against a wall...

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Unit: Applications of Integration Module: Work Introduction to Work www.thinkwell.com [email protected] Copyright 2001, Thinkwell Corp. All Rights Reserved. 1606 –rev 08/29/2001 Work is the energy used when applying a force over a distance. For a constant force F , work is the product of the force and the change in distance. For a changing or variable force F ( x ) on [ a , b ], work is given by the integral: () b a Fxdx . Most people have a good idea of what work means to them, but in physics and mathematics work has a very specific meaning. Work is the energy used when moving an object. For work to be done a force must be applied to an object and that object must move in the direction of
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Unformatted text preview: the force. So pushing against a wall might take a lot of effort, but doesn’t do any work. When a force is constant, work can be found by multiplying the magnitude of the force by the change in distance. But forces do not have to be constant. To find the work done using a variable or changing force you have to use calculus. F ( x ) means the force at a particular x-value. It’s a notational way of saying “changing force.” Notice that the integral looks a lot like the formula for a constant force. The force is multiplied by a change in distance, this time dx . The integral sums up all the infinite little pieces....
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This note was uploaded on 04/27/2010 for the course MATH 172 taught by Professor Hyon during the Spring '10 term at Community College of Denver.

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