Final answer:
The final velocity of the 5 kg object after the collision, where a 15 kg object transfers all its momentum, would be 9 m/s according to the Law of Conservation of Momentum.
Step-by-step explanation:
In the given scenario, the Law of Conservation of Momentum dictates that the total momentum before the collision must be equal to the total momentum after the collision. Since the 15 kg object transfers all its momentum to the 5 kg object, we can calculate the final velocity of the 5 kg object using the formula:
m1v1 = m2v2
Where m1 and v1 are the mass and velocity of the 15 kg object before the collision, and m2 and v2 are the mass and velocity of the 5 kg object after the collision.
So, we have:
15 kg × 3 m/s = 5 kg × v2
v2 = (15 kg × 3 m/s) / 5 kg = 9 m/s
Therefore, the final velocity of the 5 kg object after the collision would be 9 m/s.