# Spring problem

1. Nov 27, 2007

### xcvxcvvc

1. The problem statement, all variables and given/known data
A spring is hung from the ceiling. A pan of mass 100.0 g is attached to the end, which causes it to stretch 5.00 cm. Find the maximum distance the pan moves downward when a lump of clay of mass 120.0 g is dropped from a height of 40.0 cm onto the pan.
2. Relevant equations
K * distance = force of spring
integral(kx) = work
momentum p1 + p2 = p1' + p2'
potential energy = g * h * m
3. The attempt at a solution
.1 * 9.8 = k * .05, k = 19.6N/s
integral from .05 to x of 19.6x dx = .120 * .4 * 9.8 SO

9.8 * x^2 - 9.8(.05) = .4704
x = .313 m
.313 - .05 = .263 meters maximum movement downward

2. Nov 27, 2007

### 4.19mile

Correct.

3. Nov 27, 2007

### xcvxcvvc

no, it's off by .03 meters. I'm not sure why.

4. Nov 27, 2007

### 4.19mile

Fine, wrong.

5. Nov 27, 2007

### xcvxcvvc

lol thanks for the help

6. Nov 27, 2007

### 4.19mile

No problem.

7. Nov 27, 2007

### xcvxcvvc

LOL that was the right answer, i just used wrong math