The x components of the average accelerations?

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Homework Help Overview

The problem involves an 8.5-kg object sliding on ice that undergoes an internal explosion, resulting in two chunks and a change in kinetic energy. The objective is to determine the x components of the average accelerations of the two chunks during the explosion, given the initial conditions and the time interval of the explosion.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the necessary values and formulas for calculating average acceleration, including initial velocities and the need for final velocities. There is exploration of using conservation of momentum and kinetic energy to derive equations for the final velocities of the chunks.

Discussion Status

Participants are actively engaging with the problem, attempting to derive equations and clarify concepts related to momentum and kinetic energy. Some have shared their calculations and results, while others are questioning the validity of their approaches and results. There is a recognition of the need for two equations to solve for the final velocities.

Contextual Notes

There is an ongoing discussion about the correct application of formulas and the treatment of mass after the explosion. Participants are also addressing potential errors in their calculations and the implications of those errors on the final results.

  • #31
emily081715 said:
i got accelerations now of 7.1 and -7.1 m/s^2
is this correct
Still doesn't seem correct. What values of ##v_1## and ##v_2## did you get?
 
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  • #32
1.204198 and 3.475
 
  • #33
emily081715 said:
1.204198 and 3.475
Those are not correct.

What do those give for the change in kinetic energy?
 
  • #34
emily081715 said:
Or would you have to turn it into 21.904-9.36v1 -v1^2
That last term should be positive:

21.904 - 9.36v1 + v12
 

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