Projectile motions with different masses

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SUMMARY

In the discussion on projectile motions involving two children of different masses swinging and jumping off simultaneously, it is established that both will travel the same horizontal distance if their swings are identical in length and height. The key factors are that the time to ground and the initial velocities are the same for both children, assuming air resistance is negligible. Thus, mass does not affect the distance traveled in this scenario.

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  • Understanding of basic physics concepts, specifically projectile motion.
  • Familiarity with the principles of synchronization in motion.
  • Knowledge of the effects of air resistance on projectile trajectories.
  • Basic mathematical skills to analyze motion equations.
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This discussion is beneficial for physics students, educators, and anyone interested in understanding the principles of projectile motion and the effects of mass on distance traveled in synchronized movements.

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Homework Statement


Two children are swinging, one weighs more than the other. They become synchronized in their swinging, and simultaneously jump off. Do they travel both the same distance, or does one travel more than the other.


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The Attempt at a Solution



Because the time to ground for each is the same, and the velocity is the same (would it be the same? In order for the two to be synchronized, would one's velocity have to be greater?), I said the distance traveled would be the same.
 
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Your answer is correct as long as both swings are identical (the same length and suspended from the same height.)

(and as long as the problem is ignoring air resistance)
 

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