SF-3 It is possible to vary the diameter of the wire and the diameter of the spring coil to produce a spring for which Fax³ a) Write the expression for an infinitesimal amount of work dWk done to stretch this spring an infinitesimal distance dx. b) Integrate your expression from part a) to get an expression for the work done to stretch the spring from elongation x, to elongation X2. c) If your spring has a 1,200N/m³, find the work done to stretch the spring 8.00cm from its unloaded length.

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SF-3 It is possible to vary the diameter of the wire and the diameter of the spring coil to produce a spring for
which F=ax³
a) Write the expression for an infinitesimal amount of work dWk done to stretch this spring an
infinitesimal distance dx.
b) Integrate your expression from part a) to get an expression for the work done to stretch the spring
from elongation x; to elongation X2.
c) If your spring has a 1,200N/m³, find the work done to stretch the spring 8.00cm from its unloaded
length.
Transcribed Image Text:SF-3 It is possible to vary the diameter of the wire and the diameter of the spring coil to produce a spring for which F=ax³ a) Write the expression for an infinitesimal amount of work dWk done to stretch this spring an infinitesimal distance dx. b) Integrate your expression from part a) to get an expression for the work done to stretch the spring from elongation x; to elongation X2. c) If your spring has a 1,200N/m³, find the work done to stretch the spring 8.00cm from its unloaded length.
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