# Harmonic Motion

1. Oct 8, 2006

### I am Inquisitive

I have this problem, and I'd just like to make sure if the process I used to achieve an answer is correct.

A 0.25-kg block is dropped straight downward onto a vertical spring. The spring constant of the spring is 58 N/m. The block sticks to the spring, and the spring compresses 0.15 m before coming to a momentary halt. What is the speed of the block just before it hits the spring?

So I use this equation to solve it: PEg (graviational potential energy) + KE0 (initial kinetic energy) + PEe0 (initial elastic potential energy) = PEg2 + KEf + PEef.

And there would be no initial elastic potential energy, no final kinetic energy and no final gravitational potential energy, thus leaving me with:

KE0 + PEg = PEef, which expanded would be:

1/2 mv^2 + mgh = 1/2kh (or x)^2

Plug in the numbers accordingly..

1/2 (.25)(v^2) + (.25)(9.8)(.15) =1/2(58)(.15)^2

which gives me an answer of 1.51 m/s.

Is what I'm doing right?

Last edited: Oct 8, 2006