Answer:
A) Vf = 8.21 m/s
B) Va = 6.17 m/s
Explanation:
By conservation of the linear momentum on each axix:
x-axis:
ma*Va = (ma+mb)*Vf*cos(65°)
y-axis:
-mb*Vb = -(ma+mb)*Vf*sin(65°)
By dividing both equations:
[tex]\frac{ma*Va}{-mb*Vb} =\frac{cos(65\°)}{-sin(65\°)}[/tex]
Solving for Va:
Va = 6.17 m/s
Replacing this value into the x-axis equation:
Vf = 8.21 m/s