Collision and conservation of P

[yoleven]

Homework Statement

A ball (A) is rolling west at 3m/s and has a mass of 1kg. Another ball (B) has a mass of 2kg and is stationary. After a collision, ball A moves south at 2 m/s. Calculate the momentum and velocity of ball B after the collision.

Homework Equations

Pa(initial)=Pa(final)+Pb(final
P=m x v
a2+b2=c2

The Attempt at a Solution

Pa(initial)=1kg(3m/s W)= 3kgm/s W
Pa(final)=1kg(2m/s S)= 2kgm/s S
Pa(initial)-Pa(final)=Pb(final)
a vector diagram gives me a right triangle. Pythagoras gives me c=Pb(final) as 3.6kgm/s
33.7 degrees North of West.
Pb=m x v
3.6kgm/s 33.7degrees north of west /2 kg= vb
vb= 1.8 m/s 33.7 degrees north of west.
Is this correct?

 

[Shooting Star]

Absolutely.

 

[yoleven]

Thank you