How do I find Period T(s) and Period^2 T^2 (s^2) given mass(kg) = 0.1 and Average time for ten vibrations (s) = 5.05?

To find the period T(s), you can use the formula T = (Average time for ten vibrations) / 10.

Given that the average time for ten vibrations is 5.05 seconds, we can calculate the period as follows:
T = 5.05 seconds / 10 = 0.505 seconds.

Now, to find the period squared T^2 (s^2), you simply need to square the calculated period T:
T^2 = (0.505 seconds)^2 = 0.255025 s^2.

Therefore, the period T is 0.505 seconds, and the period squared T^2 is 0.255025 s^2, for the given mass of 0.1 kg and average time for ten vibrations of 5.05 seconds.