Velocity & Horizontal Distance of Person on Water Slide

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Discussion Overview

The discussion revolves around determining the velocity and horizontal distance of a person sliding down a water slide, which involves analyzing the physics of motion on an inclined plane and the subsequent trajectory after leaving a ramp. The scope includes theoretical approaches to solving the problem using principles of physics.

Discussion Character

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

Main Points Raised

  • Post 1 presents the problem of calculating the velocity and horizontal distance of a person on a water slide with specific dimensions and angles.
  • Post 2 introduces various physics equations, including Newton's Second Law and the Conservation of Energy, and questions which would be appropriate for the problem at hand.
  • Post 3 suggests that the Conservation of Energy is the most suitable approach for finding the velocity, proposing a specific equation to use.
  • Post 4 agrees with the use of Conservation of Energy for the initial velocity calculation but prompts further discussion on the next steps after finding the velocity.

Areas of Agreement / Disagreement

Participants generally agree that the Conservation of Energy is a suitable approach for calculating the velocity of the person on the slide, but there is no consensus on the subsequent steps or methods to determine the horizontal distance.

Contextual Notes

Participants have not fully resolved the mathematical steps required to find the horizontal distance after determining the velocity, and there may be dependencies on specific definitions or assumptions regarding the motion involved.

chunky
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a person slides down a water slide that is 61 m long and has a slope angle of 24 degrees and the end is a ramp with a height of 3.66 m with an angle of 30 degrees to the horizontal determine the magnitude and direction of the velocity of the person when they just fly away from the ramp and the horizontal distance that they fly.

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There are a number of equations that I like to say "have physics in them", as opposed to being merely descriptive. Your equations with physics, in a typical order of presentation, are the following:
  1. Newton's Second Law
  2. Conservation of Energy
  3. Work-Energy Theorem
  4. Conservation of Linear Momentum
  5. Conservation of Angular Momentum

Which of these approaches do you think would be appropriate for this problem?
 
I believe the most appropriate approach would be the conservation of energy ie,

T1+V1+U1-2=T2+V2

Then just find all of the relevant pieces of information from the question and subbing them into the equation and solving for the magnitude and direction of the velocity and well as the max flying distance
 
I would agree that CoE would be the right approach for the first part of this problem (finding the velocity). Once you do that, however, how would you continue?
 

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