Question Difficulty

A $5$ g spider is dangling at the end of a silk thread. You can make the spider bounce up and down on the thread by tapping lightly on its feet with a pencil. You discover that you can give the spider the largest amplitude on the thread by tapping exactly once every second.

$($a$)$ What is the spring constant of the silk thread?

N$/$m

$($b$)$ After further experimentation, you discover that if you tap at a rate of three times every two seconds, the amplitude is $\backslash (30\backslash \%\backslash )$ of its maximum value. What is the damping constant for the thread? kg$/$s