Inclined plane car out of gas problem

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Homework Help Overview

The problem involves a car that runs out of gas while traveling up an inclined plane at a specific angle. Participants are discussing how to determine the distance the car will coast before rolling back down the slope.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants have attempted various equations and concepts, including the work-energy theorem and kinematic equations. Some are questioning the assumptions about acceleration and the forces acting on the car.

Discussion Status

The discussion is ongoing with multiple approaches being explored. Some participants have provided guidance on using free body diagrams and resolving forces, while others are questioning the assumptions regarding acceleration and the applicability of certain formulas.

Contextual Notes

There is uncertainty about whether the participants have covered the necessary concepts related to energy and forces in their studies, which may affect their understanding of the problem.

angeljunti
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A car traveling at 25.0m/s runs out of gas while traveling up a 22.0 degree slope.
How far up the hill will it coast before starting to roll back down?

i tried doing (2*25m/s)^2 / cos22*-9.8cos68 but that wasn't the right answer...

~help please?
 
Last edited:
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what equation are you using? have you drawn a force diagram?
 
Alternatively, one could consider the work-energy theorem
 
When i comes to inclined slope like these part of the g is "filtered" off. Thus Draw out your free body diagram, resolve the g in the direction parrallel to the slope.then use the formula V^2 = U^2 + 2as
Hope it helps.

EDITED version
sry ><
 
Last edited:
Delzac, please do not post complete solutions.

Edit: No problems Delzac
 
Last edited:
Hootenanny said:
Alternatively, one could consider the work-energy theorem
most defiantly, that's how i first looked at it. from the looks of it though they haven't started studying energy yet (at least that's what i think) and i was ify on possible jumping ahead.
 
well, now that the correct formula has been given, does the car accelerate? if so, how would you find the acceleration rate of the car?
 
Delzac said:
When i comes to inclined slope like these part of the g is "filtered" off. Thus Draw out your free body diagram, resolve the g in the direction parrallel to the slope.


then use the formula V^2 = U^2 + 2as



Hope it helps.

EDITED version
sry ><
how can you be sure that the acceleration or retardation here is constant?
 
castaway said:
how can you be sure that the acceleration or retardation here is constant?
Is the acceleration due to gravity (approximately) constant here?
 
  • #10
I got 85m by solving for a then using v^2=v1^2+2ad
 

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