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**1.**

A spring with spring constant 14.5 n/m hangs from the ceiling.

A 430g ball is attached to the spring and allowed to come to rest.

It is then pulled down 7.20cm and released.

What is the time constant if the ball's amplitude has decreased to 3.70 after 52.0 oscillations?

A spring with spring constant 14.5 n/m hangs from the ceiling.

A 430g ball is attached to the spring and allowed to come to rest.

It is then pulled down 7.20cm and released.

What is the time constant if the ball's amplitude has decreased to 3.70 after 52.0 oscillations?

## The Attempt at a Solution

w = squareroot (14.5 n/m / 0.43kg)

vmax = 2pi * 3.7 / T

vmax = w*a

w*a = 2pi*3.7/ T

solve for T

i know it's damping

not sure what it means by the time constant, nor what formula to use to solve for it

help would be appreciated, and an explanation of how you got to the awnser