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According to Hooke's Law, the force required to hold the spring stretched x m beyond its natural length is given by f(x) = kx, where k is the spring constant. Suppose that 3 J of work is needed to stretch a spring from 6 cm to 8 cm and another 5 J is needed to stretch it from 8 cm to 10 cm. Find the exact value of k, in N/m. k= N/m What is the natural length of the spring, in cm? cm

According to Hooke's Law, the force required to hold the spring stretched x m beyond its natural length is given by f(x) = kx, where k is the spring constant. Suppose that 3 J of work is needed to stretch a spring from 6 cm to 8 cm and another 5 J is needed to stretch it from 8 cm to 10 cm. Find the exact value of k, in N/m. k= N/m What is the natural length of the spring, in cm? cm

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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According to Hooke's Law, the force required to hold the spring stretched x m beyond its natural length is given by f(x) = kx, where k is the spring constant. Suppose that 3 J of work is needed to stretch a spring from 6 cm to 8 cm and another 5 J is needed to stretch it from 8 cm to 10 cm. Find the exact value of k, in N/m. k= N/m What is the natural length of the spring, in cm? cm
Transcribed Image Text:According to Hooke's Law, the force required to hold the spring stretched x m beyond its natural length is given by f(x) = kx, where k is the spring constant. Suppose that 3 J of work is needed to stretch a spring from 6 cm to 8 cm and another 5 J is needed to stretch it from 8 cm to 10 cm. Find the exact value of k, in N/m. k= N/m What is the natural length of the spring, in cm? cm
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