3. Make a guess: (a) Without knowing all the physics behind, use dimensional analysis to derive the elast potential energy E which has the unit Joule J = kg m²/s², in terms of spring constant which has unit kg/s², displacement x which has unit m. (b) Consider a spring storing energy 10 J when it is compressed by 1 cm. By using the formul you derived above, how much energy is stored in the spring system when it is compresse by 2 cm?

College Physics
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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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3. Make a guess:
(a) Without knowing all the physics behind, use dimensional analysis to derive the elastic
potential energy E which has the unit Joule J = kg · m²/s², in terms of spring constant k
which has unit kg/s², displacement ä which has unit m.
(b) Consider a spring storing energy 10 J when it is compressed by 1 cm. By using the formula
you derived above, how much energy is stored in the spring system when it is compressed
by 2 cm?
Transcribed Image Text:3. Make a guess: (a) Without knowing all the physics behind, use dimensional analysis to derive the elastic potential energy E which has the unit Joule J = kg · m²/s², in terms of spring constant k which has unit kg/s², displacement ä which has unit m. (b) Consider a spring storing energy 10 J when it is compressed by 1 cm. By using the formula you derived above, how much energy is stored in the spring system when it is compressed by 2 cm?
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