- #1

lc99

- 161

- 3

## Homework Statement

## Homework Equations

T = 2pi * sqrt(m/k)

mv =m2v2 (LM)[/B]

## The Attempt at a Solution

[/B]

So T2 depends on the mass and not velocity. So i can find

__T2 = 2pi * sqrt([m/2]/k)__

For A2 , i know that the amplitude before any collision is 1/2m1v1^2 = 1/2kA1^2

so solving that, i get v1 = A1 sqrt(k/m) .

I know that linear moment is conserved so i can find v2...

m1v1=m2v2 --> mv1 = m/2 * v2 --> v2 = 2v1 = 2A1sqrt(k/m)

With the new velocity, v2, i writing with energy conservation...

1/2mv2^2 = 1/2kA2^2, so i can find A2 in terms of v2... and substituting v2 in terms of A1 from above

solving for A2, i would get A2 = mv2^2 / k = A2^2 -->

__A2 = sqrt(2A1)__

did i do this correctly?

did i do this correctly?