Question
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Solvisiontab
the website http://phet.colorado.edu/en/simulation/collision-lab & the website following:
complete the foll
de of the screen, select the following settings: 1 dimension, velocity vectors ON, momentum vectors ON, reflecting borders ON, momenta diagram ON, elasticity . Look at the green balls on the screen and the vectors that
a. Which ball has the greater velocity?
a. Which ball has the greater velocity?
b. Which has the greater momentum?
2. Explain why the green ball has more momentum but less velocity than the red ball (HINT: what is the definition of momentum?).

Ask by Wyatt Coles. in the United States
Mar 25,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

a. The ball with the longer velocity vector has the greater velocity.
b. The ball with the higher momentum value has the greater momentum.
c. The green ball has more momentum because it has a larger mass, even though its velocity is lower.

Solution

To address your questions regarding the simulation on the provided website, let’s break down the problem step by step.

Known Conditions:

  1. You are using a simulation with the following settings:
    • 1 dimension
    • Velocity vectors ON
    • Momentum vectors ON
    • Reflecting borders ON
    • Momenta diagram ON
    • Elasticity at 0%
  2. You are observing green balls and red balls.

Questions:

a. Which ball has the greater velocity?
b. Which has the greater momentum?
c. Explain why the green ball has more momentum but less velocity than the red ball.

Step-by-Step Solution:

a. Which ball has the greater velocity?

  • In the simulation, you will need to observe the velocity vectors of both the green and red balls. The length of the velocity vector indicates the magnitude of the velocity. The ball with the longer vector has the greater velocity.

b. Which has the greater momentum?

  • Momentum ( ) is defined as the product of mass ( ) and velocity ( ):
  • To determine which ball has greater momentum, you will need to consider both the mass and the velocity of each ball. If the green ball has a larger mass than the red ball, it could have greater momentum even if its velocity is lower.

c. Explanation of Momentum vs. Velocity:

  • Definition of Momentum: Momentum is a vector quantity that depends on both the mass and the velocity of an object. It is given by the formula .
  • If the green ball has more mass than the red ball, it can have more momentum even if its velocity is lower. This is because momentum takes into account both how fast an object is moving (velocity) and how much matter it contains (mass). Therefore, a heavier object moving at a slower speed can have more momentum than a lighter object moving faster.

Conclusion:

  • To answer the specific questions, you will need to observe the simulation directly. Look at the velocity vectors to determine which ball has the greater velocity and calculate the momentum based on the mass and velocity of each ball. The explanation hinges on the relationship between mass, velocity, and momentum.

Answered by UpStudy AI and reviewed by a Professional Tutor

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Extra Insights

In the simulation, you’ll find that the ball with greater velocity is typically the red one, as indicated by the size and direction of its velocity vector. The magnitude of this vector visually represents how fast the ball is moving, so keep an eye out for those swift red speeds!
When looking at momentum, remember it’s defined as the product of an object’s mass and its velocity ( ). So, even if the green ball has a lower velocity, if it has a significantly larger mass—or even if it’s on par with the red ball—it can end up having greater momentum. This relationship illustrates the beauty of physics: sometimes it’s not just about how fast something is going, but also how much of it there is!

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