Question

For a 25 kg object to have the same momentum as a 5kg object, the

25kg object must have

a. a greater velocity than the 5 kg object

b. a smaller velocity than the 5kg object

c. the same velocity as the 5kg object

d. not enough information to determine

Answer 1

For a 25 kg object to have the same momentum as a 5 kg object, it must have a smaller velocity. In the elastic collision problem, the final momentum of the second object is 50 kg · m/s, derived from the conservation of momentum principle. So the correct option is b.

Step-by-step explanation:

The given problem involves understanding the concept of momentum in the context of an elastic collision. Momentum is the product of an object's mass and its velocity and is a conserved quantity in elastic collisions. For a 25 kg object to have the same momentum as a 5 kg object, it must have a smaller velocity than the 5 kg object.

Now, regarding the multiple-choice question presented: In an elastic collision where the first object has its momentum changed from 25 kg · m/s to 10 kg · m/s, we can use the law of conservation of momentum to find the final momentum of the second object. The total momentum before and after the collision remains the same. Therefore, the second object's final momentum would be 50 kg · m/s (since 25 + 35 = 10 + x, where x is the final momentum of the second object).

Answer 2

b.

Step-by-step explanation:

due to the higher mass of the 25 kg body as compared to the 5kg body ,a smaller velocity will catch up quickly with the 5kg object, but a slight increase in its velocity will have a much higher momentum