Question
A blue and a green billiard ball, each have a mass of 0.15 kg. Before they collide, the blue ball had a speed of 3 m/s while the green ball had a speed of -2 m/s. What direction are they traveling?
(1 point)
Responses
Not enough information is provided to determine the direction of travel.
Not enough information is provided to determine the direction of travel.
At a 90-degree angle to each other.
At a 90-degree angle to each other.
In opposite directions, away from each other.
In opposite directions, away from each other.
In opposite directions, towards each other.
(1 point)
Responses
Not enough information is provided to determine the direction of travel.
Not enough information is provided to determine the direction of travel.
At a 90-degree angle to each other.
At a 90-degree angle to each other.
In opposite directions, away from each other.
In opposite directions, away from each other.
In opposite directions, towards each other.
Answers
GPT-4o mini
To determine the directions in which the billiard balls are traveling, we can analyze their speeds and the signs associated with those speeds:
1. The blue ball has a speed of \(3 \, \text{m/s}\). We can assume that it is moving in the positive direction.
2. The green ball has a speed of \(-2 \, \text{m/s}\). The negative sign indicates that it is moving in the opposite direction to the blue ball (assuming the positive direction is defined as the direction of the blue ball).
Since the blue ball is traveling in one direction (let's say to the right), and the green ball is traveling in the opposite direction (to the left), they are moving towards each other.
So the correct response is:
**In opposite directions, towards each other.**
1. The blue ball has a speed of \(3 \, \text{m/s}\). We can assume that it is moving in the positive direction.
2. The green ball has a speed of \(-2 \, \text{m/s}\). The negative sign indicates that it is moving in the opposite direction to the blue ball (assuming the positive direction is defined as the direction of the blue ball).
Since the blue ball is traveling in one direction (let's say to the right), and the green ball is traveling in the opposite direction (to the left), they are moving towards each other.
So the correct response is:
**In opposite directions, towards each other.**