# Dynamics - Velocity Question

1. Homework Statement

http://img521.imageshack.us/img521/4360/physicsjg1.jpg [Broken]

2. Homework Equations

Elastic Energy = 0.5 x k x
Kinetic Energy = 0.5 x m x

3. The Attempt at a Solution

At 1m i worked out there is 1.922J of energy (0.5 x 10 x 0.62²) stored in the spring. Since no energy is lost and initially the spring has no energy i assume it must be:

Initial Kinetic Energy = Final Elastic Energy
Initial Kientic Energy = 1.922J
0.5 x m x V² = 1.922
0.5 x 10 x V² = 1.922
5 x V² = 1.922
V² = 0.384
V = 0.634 m/s

James

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Doc Al
Mentor
For one thing, they are asking for the speed of the slider immediately after the collision. The spring hasn't stretched yet. (I assume that there are other parts to this question?)

Analyze the collision. Energy is not conserved during the collision; you are told that it's a partially inelastic collision. But what is conserved?

Momentum?

Im not told the speed of A so i cant work out the speed of B as a result of the collision. Therefore ive been using the rules of energy conservation. Initial kientic energy of B = Final elastic energy in spring?

Doc Al
Mentor
typo!

Forget what I said in my last post. (I've got to learn to read more carefully. )

Your energy method is perfectly correct. But there is a typo in the problem. Note that on the diagram the spring constant is given as k = 20 N/m. Use that value and you'll get the required answer.