A student is experimenting with two sets of balls colliding in a closed system.

In the first trial, two hard balls collide for 0.01 seconds.
In the second trial, two softer balls collide for 0.02 seconds.
The amount of force applied to each set of balls is equal.
Which statement is correct about these trials?

(1 point)

The momentum in the first trial is twice the impulse in the second trial.

The impulse in the first trial is half the impulse in the second trial.

The impulse in the first trial is twice the impulse in the second trial.

The momentum in the first trial is half the impulse in the second trial.

impulse is force times time

if the force is the same, a longer time is greater impulse (change in momentum), B

To determine which statement is correct about these trials, we need to understand the concepts of momentum and impulse.

Momentum is the product of an object's mass and velocity, and it is a vector quantity, meaning it has both magnitude and direction. In a closed system, the total momentum before a collision is equal to the total momentum after the collision. Mathematically, this can be expressed as:

(m1 * v1) + (m2 * v2) = (m1 * v1') + (m2 * v2')

where m1 and m2 are the masses of the objects, v1 and v2 are their initial velocities, and v1' and v2' are their final velocities.

Impulse, on the other hand, is the change in momentum of an object and is equal to the force applied multiplied by the duration of the force. Mathematically, this can be expressed as:

Impulse = Force * Time

Now, let's analyze the given information:

In the first trial, two hard balls collide for 0.01 seconds.
In the second trial, two softer balls collide for 0.02 seconds.
The amount of force applied to each set of balls is equal.

Since the amount of force applied to each set of balls is equal, the impulse in both trials will be the same.

Therefore, the correct statement about these trials is:

The impulse in the first trial is equal to the impulse in the second trial. None of the provided statements accurately represents this information.