Final answer:
To determine the final momentum of the second object after an elastic collision, one must apply the conservation of momentum law.
The first object's momentum changed from 25 kg·m/s to 10 kg·m/s. Subtracting the final momentum of the first object from the sum of the initial momenta gives the final momentum of the second object, which is 50 kg·m/s.
The correct answer is d.
Step-by-step explanation:
The student's question is about determining the final momentum of the second object after an elastic collision. To solve this, we need to apply the law of conservation of momentum, which states that the total momentum in a closed system remains constant if no external forces act on it.
In the given problem, we have two objects colliding elastically, so the final momentum of the object not mentioned can be found by using the initial and final momentum values of the first object.
Let's denote the momentum of the first object as p1 and the second object as p2. Initially, p1 = 25 kg·m/s and p2 = 35 kg·m/s. After the collision, p1 changes to 10 kg·m/s. Since the collision is elastic, the total momentum before and after the collision is the same:
p1_initial + p2_initial = p1_final + p2_final
25 kg·m/s + 35 kg·m/s = 10 kg·m/s + p2_final
p2_final = 25 kg·m/s + 35 kg·m/s - 10 kg·m/s
p2_final = 60 kg·m/s - 10 kg·m/s
p2_final = 50 kg·m/s
The correct answer is d. 50 kg·m/s, which is the final momentum of the second object after the collision.