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AP® Physics C: Mechanics

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Two Diagonal Springs

APPHMC-UYZNLS

Tomihiro Ono. Created for Albert.io. Copyright 2016. All rights reserved.

Two springs, each with spring constant $k$ and relaxed length $l$, are initially horizontal, each secured on one side to a wall and connected to a mass $m$ on the other. The mass is lowered a height $h$ from its initial position so that the system is in equilibrium.

In terms of the initial length $l$, height $h$, and spring constant $k$, what is the mass $m$?

A

$\frac {2 k h} {g} \cdot \frac {h} {\sqrt{l^{2}+h^{2}}}$

B

$\frac {2 k h} {g} \cdot (1-\frac {h} {\sqrt{l^{2}+h^{2}}})$

C

$2k \cdot \frac {\sqrt{l^{2}+h^{2}} - l} {g}$

D

$2k \cdot \frac {\sqrt{l^{2}+h^{2}}} {g} $

E

None of the above