Can Jugglers Cross a Bridge with 5 Balls and a Weight Limit of 50kg?

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Discussion Overview

The discussion revolves around a hypothetical scenario involving two jugglers attempting to cross a bridge with a weight limit of 50kg while juggling five balls, each weighing 2kg. The focus is on the feasibility of crossing the bridge under these conditions, exploring concepts of weight, momentum, and forces involved in juggling.

Discussion Character

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

Main Points Raised

  • Some participants question whether the first juggler can cross the bridge while juggling, given that he weighs 45kg and the balls add an additional 10kg, potentially exceeding the weight limit.
  • Others propose that the juggler's ability to juggle may allow him to momentarily reduce the effective weight on the bridge, but this remains uncertain.
  • A participant suggests that the second juggler, who throws all five balls and runs to catch them, might succeed if he can throw and run fast enough, but this is also debated.
  • Some argue that the forces involved in juggling, including the momentum change when catching and throwing balls, complicate the situation and could lead to exceeding the bridge's weight limit.
  • There is a discussion about the difference between throwing all balls at once versus one at a time, with implications for the forces acting on the bridge.
  • Mathematical models are proposed to analyze the situation, including calculations of time and forces, but results vary among participants.

Areas of Agreement / Disagreement

Participants do not reach a consensus on whether either juggler can successfully cross the bridge. Multiple competing views and interpretations of the physics involved remain unresolved.

Contextual Notes

The discussion includes various assumptions about the jugglers' techniques, the effects of air resistance, and the time taken to catch and throw the balls, which are not fully specified or agreed upon.

  • #31
AdityaDev said:
The person exerts a force to throw the ball upwards and it came out to be more that 2kg.
Just to reiterate what I think is the definite argument in this case: The average force has to be larger than 50 kg-wt (55 kg-wt for 5 balls of 2 kg and one juggler of 45 kg to be precise), thus there must be points in time when the force is larger and the bridge breaks.
 
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