Large object moving, small object at rest:
v = 18.18m/s
Small object moving, large object rest:
v= 6.81m/s
Explanation:
p = mv
m1•Vi1 + m2•Vi2 = m1•Vf1 + m2•Vf2
First Scenario (large object moving):
For small object,
p=mv
p= 3kg • 0 = 0
For large object,
p= mv
p= 8kg • 25m/s = 200kg•m/s
Combined,
p1+p2 (small object + large object) = 200m/s
After the collision, there is one mass,
new mass is 8kg + 3kg = 11kg
So now , p = mv again. In this case
200m/s = (11kg)•v
v = (200kg•m/s)/(11kg) = 18.18 m/s
Second Scenario (small object moving):
p1v1 = 3kg•25m/s = 75kg•m/s
p2v2 = 8kg•0 = 0
p1v1 + p2v2 = 75kg•m/s
New mass = 8kg+ 3kg = 11kg
p = mv
75kg•m/s = 11kg•v
v = (75kg•m/s)/11kg = 6.81m/s