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**preview**shows half of the first page. to view the full**1 pages of the document.**6.4 Integral Applications

Work: Overview

Force

, where

If the acceleration is constant, then force is constant also.

Units are always important.

Force is in newton where from

.

In the US metric system, unit for force is in pound (lb). In the International metric system, water density is

. In the US metric system, it is . Since the denominator unit represents volume, it must

be multiplied by the volume of the matching unit to get the force.

Work

Total work done to move an object over the distance of is expressed as:

. Given the force function of , work represents the area under

the curve . If force is in newton and distance in meters, work is in newton-meter (ie. Joule) from

. In the US metric system, work is in foot-pound .

Hooke’s Law

Force needed to stretch a spring by units beyond its natural length: , where is the spring

constant of positive value. Springs are small in size, so the lengths are usually given in cm or inches. When the

force is given in and work in , or and , convert to appropriate units to match with force and work

units. Inch to foot conversion rate is .

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