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(Solved): Two identical springs, each with spring constant k_(0) and negligible mass, are arranged as shown i ...



Two identical springs, each with spring constant

k_(0)

and negligible mass, are arranged as shown in Figure A block is attached to the springs and lowered until the block-springs system reaches its equilibrium position. At equilibrium, the lower ends of the springs are displaced a distance

\Delta x_(1)

from where the springs were at their relaxed length. The block is removed, and the springs are rearranged as shown in Figure 2. The block is then attached to the bottom spring and lowered until the new block-springs system reaches its equilibrium position. At equilibrium, the lower end of the bottom spring is displaced a distance

\Delta x_(2)

from where the springs were at their relaxed length. What is the relationship between

\Delta x_(1)

and

\Delta x_(2)

? (A)

\Delta x_(2)=4\Delta x_(1)

\Delta x_(2)=2\Delta x_(1)

(C)

\Delta x_(2)=\Delta x_(1)

(D)

\Delta x_(2)=(1)/(2)\Delta x_(1)


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