Notes with answers - Summit Schools
Notes with answers - Summit Schools
Notes with answers - Summit Schools
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Your <strong>Notes</strong><br />
The value of k is<br />
called the spring<br />
constant. This<br />
constant is unique<br />
for each spring.<br />
Example 2 Write a Direct Variation Equation<br />
physics According to Hooke’s law, the amount that a<br />
spring is stretched varies directly <strong>with</strong> the force that is<br />
applied to the spring. If 64 pounds of force F stretches<br />
a spring a distance d of 8 inches, write an equation<br />
so that F varies directly <strong>with</strong> d. How many pounds of<br />
force are needed to stretch the spring to a distance<br />
of 14 inches?<br />
Solution<br />
Find the constant of variation.<br />
F 5 kd Write a direct variation equation.<br />
64 5 k( 8 ) Substitute 64 for F and 8 for d.<br />
8 5 k Simplify.<br />
An equation is F 5 8d . To find how many pounds<br />
of force is needed to stretch the spring 14 inches,<br />
substitute 14 for d.<br />
F 5 8 ( 14 ) 5 112<br />
A force of 112 pounds will stretch the spring 14 inches.<br />
Checkpoint Complete the following exercise.<br />
2. Suppose that a force of 92 pounds is applied to<br />
the spring discussed in Example 2. How far will<br />
the spring be stretched?<br />
11.5 inches<br />
Copyright © McDougal Littell/Houghton Mifflin Company Lesson 2.6 • Algebra 2 C&S Notetaking Guide 41
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