A mass of 1.5 kilograms is on a spring with spring constant k newtons per meter with no damping. Suppose the system is at rest and at time t = 0 the mass is kicked and starts traveling at 3.5 meters per second. How large does k have to be to so that the mass does not go further than 4.5 meters from the rest position? Put down the best lower bound for k that will work. k > help (numbers) Book: Section 2.4 of Notes on Diffy Qs

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 18EQ
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A mass of 1.5 kilograms is on a spring with spring constant k newtons per meter with no
damping. Suppose the system is at rest and at time t = 0 the mass is kicked and starts
traveling at 3.5 meters per second. How large does k have to be to so that the mass does
not go further than 4.5 meters from the rest position? Put down the best lower bound for k
that will work.
k >
help (numbers)
Book: Section 2.4 of Notes on Diffy Qs
Transcribed Image Text:A mass of 1.5 kilograms is on a spring with spring constant k newtons per meter with no damping. Suppose the system is at rest and at time t = 0 the mass is kicked and starts traveling at 3.5 meters per second. How large does k have to be to so that the mass does not go further than 4.5 meters from the rest position? Put down the best lower bound for k that will work. k > help (numbers) Book: Section 2.4 of Notes on Diffy Qs
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