Question

1. 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)

neither dog had momentum.
the larger dog had half the momentum of the smaller dog.
the larger dog had twice the momentum of the smaller dog.
both dogs had the same momentum.

Explanation:

Step1: Recall the formula for momentum

The formula for momentum \(p = mv\), where \(m\) is mass and \(v\) is velocity.

Step2: Analyze the relationship between masses and velocities

Let the mass of the smaller dog be \(m_1=m\), then the mass of the larger dog \(m_2 = 2m\). Let the velocity of both dogs be \(v\) (since they have the same velocity).
The momentum of the smaller dog \(p_1=m_1v=mv\).
The momentum of the larger dog \(p_2=m_2v=(2m)v = 2mv\).

Answer:

The larger dog had twice the momentum of the smaller dog.