Calculating Horizontal Forces on Frictionless Surface

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Discussion Overview

The discussion revolves around calculating the horizontal forces and acceleration of a disc launched by an elastic band on a frictionless surface, particularly focusing on the dynamics during and after the collision with a wall. The scope includes theoretical considerations of motion, collision dynamics, and energy transfer.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant suggests that the disc travels at a constant velocity until it hits the wall, after which it experiences deceleration.
  • Another participant emphasizes the need for additional information to analyze the collision and its effects on deceleration.
  • A question is raised about what specific information is necessary to determine the deceleration during the impact phase.
  • There is a suggestion that the time taken to travel from one end of the surface to the other can be used to calculate the initial velocity, assuming constant velocity during that phase.
  • One participant points out the importance of specifying the start and final conditions, including the energy stored in the elastic band and its conversion to kinetic energy.
  • A later reply notes that the nature of the wall is crucial for understanding the impact phase and that the rubber band’s force characteristics complicate predictions about acceleration.
  • Another participant proposes that measuring the force from the band over its range of motion could help estimate the launch speed and kinetic energy of the disc.

Areas of Agreement / Disagreement

Participants express varying levels of clarity and understanding regarding the conditions of the experiment, with no consensus on how to approach the calculations or the specifics of the collision dynamics.

Contextual Notes

Limitations include the lack of specific measurements, assumptions about the nature of the collision, and the characteristics of the elastic band, which may not follow simple linear behavior.

Branny12000
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I have a surface that has minimal to no friction and I have used an elastic band to set my disc off from one end of the surface to the other. It crashes into the wall the other side and rebounds. How can I work out the acceleration. Am I right in assuming that at first the disc travels at a constant velocity because of minimal friction and then crashes into the wall and this is the first time it experiences acceleration in the form of deceleration to be brought to a halt. So am I able therefore to simply work out the distance traveled before it comes to a halt and the time taken?

Many thanks in advance guys :D
 
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In an ideal situation like this, simple Newton rules and the velocity is constant. You will need more information to decide what happens during and after the collision.
 
What sort of information would I need to determine how deceleration works to bring it to a halt?
 
PS Am I able to simple assume constant velocity as the disc approaches the wall, ie distance of the surface/time taken to travel from one end to the other?
 
Which bit of the experiment are you considering? You have not made it clear. Are the start and final conditions relevant to your question (apart from launch velocity and zero final velocity)?
In the drift phase, there is no acceleration so time = distance / velocity. At the start, you would need to estimate the energy stored in the band and assumed that all goes to KE of the disc. The impact phase is anyone's guess until you specify something about the nature of the wall it hits.
 
Thank you. Well I intend to work out initial velocity by working out how long it take to get from one wall to the other. However, after impact I know it will deceleration but by how much I'm not sure. The wall is a hard surface.
 
?? You still don't make it clear which order you are doing things. Have you measured something or are you trying to predict something? Some more background might be helpful (as ever) if you want useful responses. You can't tell what the acceleration was unless you know the distance or the time taken to get to speed. Even them, a rubber band has an odd force / extension characteristic (not like a Hooke's Law spring) so it would only be an estimate. If you actually want to find the launch speed then you could. perhaps, work that out by finding the force from the band over the range of stretched lengths and calculate the stored energy - and hence, the Kinetic Energy of the launched disc.
 

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