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endeavor
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"A 0.25kg mass on a vertical spring oscillates with a frequency of 1.0 Hz. Suppose a 0.50kg mass were instead suspended from the same spring. What would be the frequency of oscillation in this case?"
This is what I did:
[tex]\frac{f_{1}}{f_{2}} = \frac {\sqrt{\frac{k}{m_{1}}}}{\sqrt{\frac{k}{m_{2}}}}[/tex]
[tex]\frac{f_{1}}{f_{2}} = \sqrt{\frac{m_{2}}{m_{1}}}[/tex]
[tex]f_{2} = \frac{1}{4} f_{1}[/tex]
[tex]f_{2} = 0.25 Hz[/tex]
however, the answer is 0.71 Hz. What did I do wrong?
This is what I did:
[tex]\frac{f_{1}}{f_{2}} = \frac {\sqrt{\frac{k}{m_{1}}}}{\sqrt{\frac{k}{m_{2}}}}[/tex]
[tex]\frac{f_{1}}{f_{2}} = \sqrt{\frac{m_{2}}{m_{1}}}[/tex]
[tex]f_{2} = \frac{1}{4} f_{1}[/tex]
[tex]f_{2} = 0.25 Hz[/tex]
however, the answer is 0.71 Hz. What did I do wrong?