What is the ratio of the distances traveled by these two players?

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Homework Help Overview

The discussion revolves around determining the ratio of distances traveled by two players, Pierre and Jean-Claude, given their differing masses and the concept of inertia. The original poster expresses confusion regarding how to approach the problem with the provided information about their masses and inertia.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants discuss the relationship between mass, acceleration, and velocity, referencing Newton's second law (F=ma). Questions arise about the algebraic meaning of inertia and how it relates to the distances traveled by the players.
  • Some participants explore the conservation of momentum and its implications for the velocities of the players, while others question the arithmetic relationships between their masses.
  • There is a focus on deriving equations for kinetic energy and how to express them in terms of the same variables for comparison.

Discussion Status

The discussion is active, with participants attempting to clarify their understanding of the relationships between mass, velocity, and distance. Some guidance has been provided regarding the use of kinetic energy equations and the importance of expressing them in consistent terms. However, there is no explicit consensus on the final approach to solving the problem.

Contextual Notes

Participants note that the problem does not provide enough information to solve for the individual velocities of the players, but they emphasize that the ratio of distances can still be determined. There is also a discussion about the implications of mass differences on the distances traveled.

  • #31
PeroK said:
I thought the question was to find the ratio of distances travelled? That seems not very easy to me. Unless I'm missing something, all the calculations so far are just the preliminaries!
Yes. My aim was at a preliminary result which would be the ratio of the kinetic energies. Then one could try to figure out whether the kinetic energy loss was a rate over distance or a rate over time.

A rate over distance would make the rest of the problem easy using work and energy. A rate over time would either call for the evaluation of an integral or a clever way of comparing the two situations.
 
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