Glancing Collisions In 2D, help simplifying

[Visionary_]

Homework Statement

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

Homework Equations

Ʃρx-initial=Ʃρx-final
Ʃρy-initial=Ʃρy-final
Use Linear combinations; sin45= √2/2=cos45

The Attempt at a Solution

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

 

[PeterO]

Homework Statement

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

Homework Equations

Ʃρx-initial=Ʃρx-final
Ʃρy-initial=Ʃρy-final
Use Linear combinations; sin45= √2/2=cos45

The Attempt at a Solution

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

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 ?

 

[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 :)