Optimizing Truck Deceleration to Prevent Crate Sliding

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Homework Help Overview

The problem involves determining the maximum deceleration of a truck to prevent a crate from sliding, given the truck's speed and the coefficient of friction between the crate and the truck bed.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss the relevance of the truck's initial speed in calculating the required deceleration, with some questioning whether it is necessary for the solution.

Discussion Status

Some participants have confirmed the calculation of deceleration based on the coefficient of friction, while others are exploring the implications of the initial speed on the problem.

Contextual Notes

There is a focus on the relationship between friction and acceleration, with participants considering the parameters provided in the homework statement.

Intrusionv2
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Homework Statement



A crate is sitting on the back of a truck at 20 m/s with a μ of 0.4. With what acceleration can the truck stop without having the crate slide?


Homework Equations



I'm not sure if I am supposed to use this equation:

a = μ(9.8)


The Attempt at a Solution



a = 0.4(9.8) = 3.92 m/s^2.
 
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That is correct, nice job.
 
So is the 20 m/s not needed?
 
That is correct. You are only asked for acceleration (or deceleration in this case), so initial velocity doesn't come into play.
 

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