A. Which spring has the largest force constant, the stiffest or the least stiff? Explain.
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The force constant, often denoted as \( k \), is a measure of a spring's stiffness. It quantifies how much force is needed to stretch or compress the spring by a certain distance. Show more…
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If we apply the same force to the springs (A and B), which one will have the greatest deformation? Explain.
Sri K.
Three rubber cords, each of force constant $k$ are joined with each other at one of their ends. The free ends of the cords are pulled maintaining them always in a plane. For a particular set of pulling forces an arrangement shown in the figure- $\mathrm{I}$ is obtained and for another set of pulling of forces arrangement shown in the figure-II is obtained. In the arrangement of figure-I, extended length of each cord is $L_1$; and in the arrangement of figure-II, extended lengths of each cord is $L_2>L_1$. (GRAPH CANT COPY) With the help of the given information, check validity of the following statements. (a) $l_{\mathrm{A}}=l_{\mathrm{B}}<l_{\mathrm{C}}$ and $k_{\mathrm{A}}=h_{\mathrm{B}}<k_{\mathrm{C}}$ (b) $l_{\mathrm{A}}=l_{\mathrm{B}}<l_{\mathrm{C}}$ and either $h_{\mathrm{A}}=h_{\mathrm{B}}>k_{\mathrm{D}}$ or $h_{\mathrm{A}}=h_{\mathrm{B}}<h_{\mathrm{C}}$ (c) $l_{\mathrm{A}}=l_{\mathrm{B}}<l_{\mathrm{C}}$ if $k_{\mathrm{A}}=k_{\mathrm{B}}>k_{\mathrm{c}}$ or $l_{\mathrm{A}}=l_{\mathrm{B}}>l_{\mathrm{C}}$ if $k_{\mathrm{A}}=k_{\mathrm{B}}<k_{\mathrm{C}}$ (d) $l_{\mathrm{A}}<l_{\mathrm{B}}<l_{\mathrm{C}}$ if $k_{\mathrm{A}}>k_{\mathrm{B}}>k_{\mathrm{C}}$ or $l_{\mathrm{A}}>l_{\mathrm{B}}>l_{\mathrm{C}}$ if $k_{\mathrm{A}}<k_{\mathrm{B}}<k_{\mathrm{C}}$
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