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Complete the table and determine the value of g from the given data on a simple pendulum.

Physics

ScanSolve AI Answer

Step 1: Complete the table by converting ll from cm to m and using the provided T2T^2 values.
The formula for the period of a simple pendulum is T=2πlgT = 2\pi \sqrt{\frac{l}{g}}.
Squaring both sides gives T2=4π2lgT^2 = \frac{4\pi^2 l}{g}.
This equation is in the form y=mxy = mx, where y=T2y = T^2, x=lx = l, and the slope m=4π2gm = \frac{4\pi^2}{g}.

The data from the table, with ll converted to meters, is:

| ll (cm) | ll (m) | T2T^2 (s2^2)

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