The final velocity of the red stone is 0.069 m/s
What is momentum?
Given that it has both a magnitude and a direction, momentum is a vector quantity. The momentum and velocity vectors are pointing in the same direction.
Initial momentum of the red stone = 19.5 kg * 1.26 Kg
= 24.57 Kgm/s
Initial momentum of the yellow stone = 0 m/s
Final momentum of the red stone = x
Final momentum of the yellow stone = 13.3 Kg * 1.43 m/s * Cos17.87
= 18.1 Kgm/s
We know that momentum before collision = Momentum after collision
( 24.57 * 0) = ( 18.1 * x)
x = 1.36 Kgm/s
Momentum = mv
v = 1.36 Kgm/s/19.5 Kg
= 0.069 m/s