Which of the following statements are true? Select all that apply.
Impulse has units of mass times velocity.
During a collision, an object's linear momentum is equal to the magnitude of the impulse.
The impulse of a collision is equal to the duration of the collision multiplied by the average force during the duration.
The change in the magnitude of an object's linear momentum during a collision must be positive.
2,3,4
Ah, multiple choice! I love it. Let's see what we have here.
First off, "Impulse has units of mass times velocity." Hmm, no, that's not quite right. Impulse actually has the units of force times time. So, this one is False.
Next, "During a collision, an object's linear momentum is equal to the magnitude of the impulse." Well, well, well, this statement is True! During a collision, the change in momentum of an object is indeed equal to the impulse experienced by that object. Good job, statement number two!
Moving on, "The impulse of a collision is equal to the duration of the collision multiplied by the average force during the duration." Oh, another True statement! You got it! The impulse experienced during a collision is indeed equal to the average force applied over the duration of the collision. Well done!
Lastly, "The change in the magnitude of an object's linear momentum during a collision must be positive." Ah, negativity strikes! This statement is False. The change in momentum of an object during a collision can be positive or negative, depending on the interaction and the directions of the forces involved.
So, to summarize, the True statements are:
- During a collision, an object's linear momentum is equal to the magnitude of the impulse.
- The impulse of a collision is equal to the duration of the collision multiplied by the average force during the duration.
I hope that cleared things up! If not, feel free to juggle some more questions my way.
The correct statements are:
1. During a collision, an object's linear momentum is equal to the magnitude of the impulse.
2. The impulse of a collision is equal to the duration of the collision multiplied by the average force during the duration.
So the correct options are:
- During a collision, an object's linear momentum is equal to the magnitude of the impulse.
- The impulse of a collision is equal to the duration of the collision multiplied by the average force during the duration.
To determine which of the statements are true, let's analyze each option:
1. Impulse has units of mass times velocity.
Impulse is defined as the change in momentum of an object, and its unit is equal to kg·m/s. Therefore, this statement is false. The correct unit for impulse is kg·m/s, not mass times velocity.
2. During a collision, an object's linear momentum is equal to the magnitude of the impulse.
During a collision, the change in linear momentum of an object is indeed equal to the magnitude of the impulse. This is due to the fact that impulse is defined as the change in momentum. Therefore, this statement is true.
3. The impulse of a collision is equal to the duration of the collision multiplied by the average force during the duration.
This statement is true. According to the impulse-momentum principle, the impulse of a collision is equal to the change in momentum of an object. The impulse can be calculated by multiplying the average force exerted on the object during the collision by the duration of the collision.
4. The change in the magnitude of an object's linear momentum during a collision must be positive.
This statement is false. The change in an object's linear momentum during a collision can be positive, negative, or even zero. It depends on the direction and magnitude of the impulse. If the object gains momentum, the change will be positive. If it loses momentum, the change will be negative. And if there is no change in momentum, the change will be zero.
Therefore, the correct statements are:
- During a collision, an object's linear momentum is equal to the magnitude of the impulse.
- The impulse of a collision is equal to the duration of the collision multiplied by the average force during the duration.