Suppose a force of 40 N is required to stretch and.hold a spring 0.2 m from its equilibrium position. a. Assuming the spring obeys Hooke's law, find the spring constant k. b. How much work is required to compress the spring 0.5 m from its equilibrium position? c. How much work is required to stretch the spring 0.6 m from its equilibrium position? d. How much additional work is required to stretch the spring 0.2 m if it has already been stretched 0.2 m from its equilibrium?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.4: Applications
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Suppose a force of 40 N is required to stretch and.hold a spring 0.2 m from its equilibrium position.
a. Assuming the spring obeys Hooke's law, find the spring constant k.
b. How much work is required to compress the spring 0.5 m from its equilibrium position?
c. How much work is required to stretch the spring 0.6 m from its equilibrium position?
d. How much additional work is required to stretch the spring 0.2 m if it has already been stretched 0.2 m
from its equilibrium?
Transcribed Image Text:Suppose a force of 40 N is required to stretch and.hold a spring 0.2 m from its equilibrium position. a. Assuming the spring obeys Hooke's law, find the spring constant k. b. How much work is required to compress the spring 0.5 m from its equilibrium position? c. How much work is required to stretch the spring 0.6 m from its equilibrium position? d. How much additional work is required to stretch the spring 0.2 m if it has already been stretched 0.2 m from its equilibrium?
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