A bumper, consisting of a nest of three springs, is used to arrest the horizontal motion of a large mass which is traveling at 62 ft/sec as it contacts the bumper. The two outer springs cause a deceleration proportional to the spring deformation. The center spring increases the deceleration rate when the compression exceeds 8 in. as shown on the graph. Determine the maximum compression x of the outer springs. Deceleration ft/sec 6000 4000 2000 x, in. 16 8 62 ft/sec Mececle

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
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Chapter5: Newton's Laws Of Motion
Section: Chapter Questions
Problem 44PQ: A student working on a school project modeled a trampoline as a spring obeying Hookes law and...
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A bumper, consisting of a nest of three springs, is used to arrest the horizontal motion of a large mass which is traveling at 62 ft/sec as
it contacts the bumper. The two outer springs cause a deceleration proportional to the spring deformation. The center spring increases
the deceleration rate when the compression exceeds 8 in. as shown on the graph. Determine the maximum compression x of the outer
springs.
Deceleration
ft/sec
6000
4000
2000
x, in.
16
8
62 ft/sec
Answer:x =
i
! in.
Transcribed Image Text:A bumper, consisting of a nest of three springs, is used to arrest the horizontal motion of a large mass which is traveling at 62 ft/sec as it contacts the bumper. The two outer springs cause a deceleration proportional to the spring deformation. The center spring increases the deceleration rate when the compression exceeds 8 in. as shown on the graph. Determine the maximum compression x of the outer springs. Deceleration ft/sec 6000 4000 2000 x, in. 16 8 62 ft/sec Answer:x = i ! in.
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