Consider a spring that does not obey Hooke's law very faithfully. One end of the spring is fixed. To keep the spring stretched or compressed an amount a, a force along the x-axis with x-component F, = ka – ba? + ca must be applied to the free end. Here k = 100 N/m, b=700 N/m?, and c = 12,000 N/m. Note that z > 0 when the spring is stretched and a <0 when it is compressed.

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter8: Potential Energy And Conservation Of Energy
Section: Chapter Questions
Problem 8.4CYU: Check Your Understanding Suppose the mass in Equation 8.6 is doubled while keeping the all other...
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Consider a spring that does not obey Hooke's law
very faithfully. One end of the spring is fixed. To keep
the spring stretched or compressed an amount x, a
force along the x-axis with x-component
F, = kx – b2 + cx must be applied to the free
end. Here k = 100 N/m, b = 700 N/m2, and
c = 12, 000 N/m³. Note that x > 0 when the
spring is stretched and x <0 when it is compressed.
Part A
How much work must be done to stretch this spring by 0.050 m from its unstretched length?
Express your answer in joules.
nν ΑΣφ
W =
J
Part B
How much work must be done to compress this spring by 0.050 m from its unstretched length?
Express your answer in joules.
W =
J
Transcribed Image Text:Consider a spring that does not obey Hooke's law very faithfully. One end of the spring is fixed. To keep the spring stretched or compressed an amount x, a force along the x-axis with x-component F, = kx – b2 + cx must be applied to the free end. Here k = 100 N/m, b = 700 N/m2, and c = 12, 000 N/m³. Note that x > 0 when the spring is stretched and x <0 when it is compressed. Part A How much work must be done to stretch this spring by 0.050 m from its unstretched length? Express your answer in joules. nν ΑΣφ W = J Part B How much work must be done to compress this spring by 0.050 m from its unstretched length? Express your answer in joules. W = J
Part C
Is it easier to stretch or compress this spring?
to stretch
O to compress
Transcribed Image Text:Part C Is it easier to stretch or compress this spring? to stretch O to compress
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