Hooke's law Hooke's law states that the force F required to stretch a spring x units beyond its natural length is directly proportional to x. (a) Express F as a function of x by means of a formula that involves a constant of proportionality k. (b) A weight of 4 pounds stretches a certain spring from its natural length of 10 inches to a length of 10.3 inches. Find the value of k in part (a). (c) What weight will stretch the spring in part (b) to a length of 11.5 inches? (d) Sketch a graph of the relationship between F and x for I20.
Hooke's law Hooke's law states that the force F required to stretch a spring x units beyond its natural length is directly proportional to x. (a) Express F as a function of x by means of a formula that involves a constant of proportionality k. (b) A weight of 4 pounds stretches a certain spring from its natural length of 10 inches to a length of 10.3 inches. Find the value of k in part (a). (c) What weight will stretch the spring in part (b) to a length of 11.5 inches? (d) Sketch a graph of the relationship between F and x for I20.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 18E
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