Calculating Air Resistance Work on a Thrown Ball

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Discussion Overview

The discussion revolves around calculating the work done by air resistance on a thrown ball, specifically focusing on a scenario where a 5kg ball is thrown upwards with an initial velocity of 30 m/s and experiences air resistance. The scope includes theoretical calculations related to forces, work, and kinetic energy during the ball's ascent and descent.

Discussion Character

  • Technical explanation
  • Mathematical reasoning
  • Debate/contested

Main Points Raised

  • One participant proposes calculating the total force acting against the ball during its ascent as the sum of gravitational force and air resistance.
  • Another participant questions the unit of the stated air resistance, seeking clarification on what "25" refers to.
  • A participant clarifies that the air resistance is 25N and suggests using this value to calculate work done during the ball's ascent and descent.
  • It is mentioned that the work done by air resistance can be calculated as the force times the displacement, specifically noting that it would be 25N times twice the height reached.
  • One participant introduces the idea of calculating kinetic energy when the ball returns to its original position, linking it to the height attained and the forces acting on the ball.
  • Another participant points out that air resistance is not constant, implying that the simplification of using a fixed value of 25N may not accurately represent the situation.

Areas of Agreement / Disagreement

Participants express differing views on the nature of air resistance, with some treating it as a constant force while others argue that it varies. There is no consensus on the best approach to calculate the work done by air resistance or the kinetic energy upon return.

Contextual Notes

Participants note that air resistance is not constant, which raises questions about the assumptions made in calculations. The discussion also highlights the dependence on the definitions of forces and the need for clarity in units used.

BunHead
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let's say i have a 5kg ball and i throw it up with an initial V of 30m/s with air resistance of 25, how would i find the work done by air resistance on the way up and on the way down?
 
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Air resistance of 25? 25 what?
 
25N ... Thnx
 
While the ball is going up you have a total force of (5*9.8 + 25) N acting against the movement. So you can calculate how long it will take for the velocity to be zero and the corresponding height.
When the ball goes down, there will be a force of (5*9.8 - 25) N accelerating it. Knowing the height the ball starts on, you can calculate the time to reach ground.
edited to add:
The work done by air resistance is the force times the diplacement. Or 25N times twice the height.
 
Just for fun...how would we calculate the Kinectic energy back to the original place?
 
Find the height it will go, that distance multiplied by each force acting on it will give the work done with each force. 5*9.8 = 49N from gravity and 25N from air resistance.

Keep in mind though air resistance isn't constant, so saying 25N from air resistance doesn't really make sense.
 
Loozer said:
Just for fun...how would we calculate the Kinectic energy back to the original place?

Once you know the height the ball has attained and the accelerating force down (5*9.8+25)N, you can calculate the final velocity V. The kinectic energy is 5*V2
 

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