# Glancing Collisions In 2D, help simplifying

1. Nov 28, 2011

### Visionary_

1. The problem statement, all variables and given/known data
We are only given variables in this problem, that is:
m1 travels at V, collides with 2m which is at rest
results in m going off at 45° at V1
2m also goes off at 45° down at V2
Calculate V1 and V2 in terms of V

2. Relevant equations
Ʃρx-initial=Ʃρx-final
Ʃρy-initial=Ʃρy-final
Use Linear combinations; sin45= √2/2=cos45
3. The attempt at a solution
x direction:
mv1=mv1√2/2+2mv√2/2
y direction
0=√2/2(mv1+2mv)

2. Nov 28, 2011

### PeterO

The equations you have written out are not quite right.

You have:

x direction:
mv1=mv1√2/2+2mv√2/2
y direction
0=√2/2(mv1+2mv)

but were perhaps trying for

x direction:
m1V=m1V1√2/2+m2V2√2/2
y direction
0=√2/2(m1V1+m2V2)

Though perhaps you really did mean masses m and 2m ?

3. Nov 28, 2011

### Visionary_

yes the second mass was 2m as in twice the mass,
i simplified the problem further and got a 90% on the paper so its fine :)