Analyzing Delta x Change When Ball Sticks vs Bounces

In summary, if the ball had bounced off the floor instead of sticking to it, the results of the experiment would have been different. The delta x measurement would likely be smaller as the ball would not have as much energy to continue its trajectory, and the final radius may also be different due to potential deformation of the ball upon impact.
  • #1
BoldKnight399
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the question is discuss how you results would change if th balll had bounced off the floor instead of sticked to it. I was having to measure the change in the radius (delta x).

So I was thinking about this and I was wondering if there might be a larger difference between initial and final thickness because instead of the ball bouncing back up, which dicreases the amount of impact (?) it would just go splat, this would also change the delta x

Is this a possible thing that would change my delta x to be different than when it bounced?
 
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  • #2
Could this have an effect on the delta x? Yes, it certainly could. If the ball sticks to the floor after impact, the energy of the impact is transferred to the floor and not back into the ball. This means that the ball will not rebound off the floor, which would result in the ball having less energy available to continue its trajectory. This could lead to a decrease in the delta x measurement as the ball will not travel as far as it would if it had bounced off the floor. Additionally, the ball may deform slightly due to the force of the impact, leading to a different shape and thus a different final radius than what would have been measured if the ball had bounced off the floor.
 
  • #3


I would approach this question by first examining the variables involved in the scenario. The main variable in this experiment is the impact of the ball on the floor and how it affects the change in radius (delta x). The force of impact is dependent on the speed and weight of the ball, as well as the surface and elasticity of the floor.

If the ball bounces off the floor, it will experience a decrease in speed and force upon impact compared to when it sticks to the floor. This decrease in force would result in a smaller change in radius (delta x) compared to when the ball sticks to the floor.

Additionally, the elasticity of the floor also plays a role in the outcome. A more elastic floor would allow the ball to bounce back with more force, resulting in a larger change in radius (delta x) compared to a less elastic floor.

Therefore, if the ball bounces off the floor instead of sticking to it, the change in radius (delta x) would be smaller due to the decrease in impact force and the elasticity of the floor. This would also be seen in the final thickness measurement, as the ball would not bounce back up and compress the material as much.

In conclusion, the results would definitely be different if the ball bounced off the floor instead of sticking to it. As a scientist, it is important to consider all variables and potential outcomes in an experiment to accurately analyze and interpret the results.
 

1. What is delta x change in relation to a ball sticking vs bouncing?

Delta x change refers to the change in position of an object, in this case a ball, from its initial position to its final position. When a ball sticks, the delta x change is zero because the ball does not move from its initial position. When a ball bounces, the delta x change is positive as the ball moves away from its initial position.

2. How is delta x change calculated when a ball sticks vs bounces?

When a ball sticks, the delta x change is calculated by subtracting the initial position from the final position. When a ball bounces, the delta x change is calculated by subtracting the initial position from the maximum height the ball reaches after bouncing.

3. What factors affect the delta x change when a ball sticks vs bounces?

The mass and elasticity of the ball, the surface it is bouncing on, and the height from which it is dropped can all affect the delta x change when a ball sticks vs bounces. A heavier and less elastic ball will have a smaller delta x change when it bounces compared to a lighter and more elastic ball. A harder surface will also result in a smaller delta x change compared to a softer surface.

4. How does analyzing delta x change when a ball sticks vs bounces help in scientific research?

Analyzing delta x change when a ball sticks vs bounces can provide valuable information about the properties of the ball and the surface it is bouncing on. This can help in understanding concepts such as momentum, energy, and elasticity, and can also be applied to other objects and surfaces in different scientific research areas.

5. Can delta x change be negative when a ball sticks vs bounces?

No, delta x change cannot be negative when a ball sticks or bounces. Delta x change represents the distance an object moves from its initial position, and distance cannot be negative. However, the direction of the delta x change can be positive or negative depending on the direction the ball moves in after sticking or bouncing.

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