# Conservation of Momentum Question

1. Apr 20, 2005

### Silverbird

PLEASE, please help! I have been working on this problem for two days and am about to pull my hair out. This is a distance course, so I have no one to ask for help.

I am trying to solve a conservation of linear momentum problem in which there are two unknowns. Object 1 (0.5 kg), going 7.0 m/s strikes Object 2 (1.0 kg) which is at rest. I need to determine the velocities of each object after the collision.

I know that it is necessary to use both the conservation of momentum and conservation of kinetic energy equations to solve the problem. I solved the momentum equation for v1' and plugged this into the KE equation. Cancelling the 1/2 and m1, I ended up with this:

v1^2 = [v1-(m2/m1)v2']^2 + (m2/m1)v2'^2

I am certain this is right up to this point. However, I am getting hung up in the algebra somewhere, because no matter what I do, I cannot get the correct answer (This is a study problem for which I have been given the answer, but not the means of solving.)

Could someone PLEASE go through the algebra STEP by STEP starting with the equation above and solving for v2'? Or, if this is not possible could you direct me to a resource where I can find this specific information?

I would be most grateful for any help, since there is a similar problem in my homework assignment and I am sure I will need to be able to do this for the test and for future problems. THANK YOU SO MUCH!

2. Apr 20, 2005

### dextercioby

I'm sorry.But this is algebra and you're not solving an algebra problem,but a physics one.It's a prerequisite.U can't plunge into simple physics problems without knowledge of elementary algebra,geometry & trigonometry...

Conservation of linear momentum

$$m_{1}\vec{v}_{1}+m_{2}\vec{0}=m_{1}\vec{v'}_{1}+m_{2}\vec{v'}_{2}$$

For this one,u can make the assumption that the collision is 1 dimensional.

Assuming there's an ideal colllision,then KE is conserved,too.

$$m_{1}\frac{v_{1}^{2}}{2}+m_{2}\frac{0^{2}}{2}=m_{1}\frac{v'_{1}^{2}}{2}+m_{2}\frac{v'_{2}^{2}}{2}$$

Daniel.

3. Apr 20, 2005

### Silverbird

I'm sorry if my question seems like it was too elementary. I am an adult student returning for a second degree, and I have completed multiple advanced courses in chemistry and biology. This is my second semester of physics, and I am doing very well in it. Though I do not remember everything that I learned in my last algebra class (15 years ago), I do remember most of it. I would not have gotten this far if I didn't. There is something in the algebra of this problem that is messing me up, but I DO GET the physics concept. Can you help me?

4. Apr 20, 2005

### e(ho0n3

Eh, you can't understand the physics without understanding the mathematics so...

If you can tell us, exactly, your problem with the algebra involved, we may be able to help.

5. Apr 20, 2005

### Silverbird

Thank you, I found all the help I needed on very knowledgeable, HELPFUL website.

6. Apr 20, 2005

### dextercioby

Your problem involved solving a quadratic algebraic equation.I think that's taught in first year of high-school...

Daniel.