Projectile motion involving mass

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Discussion Overview

The discussion revolves around the effects of mass on the projectile motion of objects shot horizontally at a constant velocity. Participants explore the relationship between mass, distance traveled, and the role of aerodynamics, while considering the implications of drag on motion.

Discussion Character

  • Debate/contested
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • One participant inquires about the equation to calculate the distance traveled by a horizontally shot object when only mass is varied.
  • Another participant questions the mechanism by which mass changes, suggesting that the method of changing mass is significant to the discussion.
  • It is noted that any object shot at the same horizontal velocity will travel the same distance if air resistance is neglected, as the horizontal velocity remains constant and the vertical acceleration due to gravity is the same for all masses.
  • A participant proposes that a heavier projectile, when fired at the same velocity, will travel farther, attributing this to aerodynamics and seeking a simplified approach to the problem without resorting to the drag equation.
  • Another participant emphasizes that including drag complicates the analysis, as objects with the same mass but different shapes will behave differently under these conditions.

Areas of Agreement / Disagreement

Participants express differing views on the influence of mass and aerodynamics on projectile motion, with no consensus reached regarding the effects of mass on distance traveled when drag is considered.

Contextual Notes

The discussion does not resolve the assumptions regarding the effects of drag, the specific mechanisms of mass change, or the implications of different shapes on projectile behavior.

Glype11
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If the only variable that is changed is mass. What equation would I use to find the distance an object travels that is shot horizontally at a velocity (v) and I would like to be able to calculate the change in velocity?
 
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What is the mechanism by which the mass changes? It makes a big difference exactly how this happens.
 
If "an object travels that is shot horizontally at a velocity (v)", any object shot at velocity (v) will travel the same horizontal distance (neglecting air resistance). The horizontal component of travel experiences no acceleration so the initial velocity (v) remains constant.
The vertical component is experiencing a downward acceleration due to gravity. This acceleration is the same for any mass object so they reach the ground together. Like dropping a basketball and a medicine ball at the same time - they reach the ground together.
If the mechanism that shoots the first object remains the same, then shoots a larger mass object, this second object will not have "velocity (v)" to begin with. Is this what you mean?
 
The case I had in mind, was comparing two projectiles fired at the same velocity, the heavier one will travel farther.
I know it comes down to aerodynamics. I wanted to see if there was a more simplified way of solving these types of problems rather starting with the drag equation.
 
If you want to include the drag than there is no simple answer. Two objects with the same mass but different shapes will behave differently.
 

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