Part B

You hang various masses $\backslash ($ m $\backslash )$ from the end of a vertical, $0\mathrm{.}250$ kg spring that obeys Hooke's law and is tapered, which means the diameter changes along the length of the spring. Since the mass of the spring is not negligible, you must replace $\backslash ($ m $\backslash )$ in the equation $\backslash ($ T$=2\backslash$pi $\backslash$sqrt$\{$m $/$ k$\}\backslash )$ with $\backslash ($ m$+$m$\_\{\backslash$mathrm$\{$eff$\}\}\backslash ),$ where $\backslash ($ m$\_\{\backslash$text $\{$eff $\}\}\backslash )$ is the effective mass of the oscillating spring. You vary the mass $\backslash ($ m $\backslash )$ and measure the time for $10$ complete oscillations, obtaining these data:

From the slope of that line, determine the force constant of the spring.

Express your answer to three significant figures and include the appropriate units.

Incorrect; Try Again; $4$ attempts remaining

Part C

From the vertical intercept of the line, determine the spring's effective mass.

Express your answer to three significant figures and include the appropriate units.

$\backslash [$

m$\_\{\backslash$mathrm$\{$eff$\}\}=\backslash$square

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