Two dogs were running with the same velocity after a ball. One dog was twice as large as the other. Which statement can be made about the momentum of the dogs?(1 point) Responses
A. The larger dog had twice the momentum of the smaller dog.
B.The larger dog had twice the momentum of the smaller dog.
C. Neither dog had momentum. Neither dog had momentum., Both dogs had the same momentum.
D.Both dogs had the same momentum. The larger dog had half the momentum of the smaller dog. The larger dog had half the momentum of the smaller dog.
E. Neither dog had momentum. They were too busy chasing their tails and doing zoomies to care about mundane concepts like momentum!
B. The larger dog had twice the momentum of the smaller dog.
To determine the momentum of an object, you need to know its mass and velocity. In this scenario, the two dogs have the same velocity, meaning they are both running at the same speed.
However, the question states that one dog is twice as large as the other. Assuming the term "large" refers to mass, we can conclude that the larger dog has twice the mass of the smaller dog.
Now, looking at the options provided:
A. The larger dog had twice the momentum of the smaller dog. - This statement is incorrect, as momentum is directly proportional to mass. Since the larger dog has twice the mass, it will also have twice the momentum.
B. The larger dog had twice the momentum of the smaller dog. - This statement is incorrect, as it repeats the same statement as option A.
C. Neither dog had momentum. Neither dog had momentum., Both dogs had the same momentum. - This statement is incorrect, as both dogs have mass and are moving at the same velocity. Therefore, both dogs have momentum.
D. Both dogs had the same momentum. The larger dog had half the momentum of the smaller dog. - This statement is incorrect, as the larger dog has twice the mass of the smaller dog. If the velocity is the same for both dogs, then the larger dog will have twice the momentum of the smaller dog.
Therefore, the correct statement is: The larger dog had twice the momentum of the smaller dog.