Car Runs Out of Gas on 9.0 Slope - What Happens Next?

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    Car Gas Slope
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Homework Help Overview

The problem involves a car that runs out of gas while traveling up a 9.0 slope at a speed of 25 m/s. The discussion centers on determining how far the car will coast before rolling back down, specifically focusing on the effects of gravity on the car's motion along the slope.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the application of Newton's second law to find the acceleration of the car on the slope and question how to determine the gravitational force component acting along the slope.

Discussion Status

Some participants have offered guidance on using Newton's second law to find acceleration, while others are exploring how to apply one-dimensional kinematics to the slope scenario. There is an ongoing exchange of ideas regarding the forces involved.

Contextual Notes

Participants are navigating the challenge of applying known physics principles to a slope, with specific attention to the forces acting on the car, including gravity and friction.

grizzly44
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A car traveling at 25 m/s runs out of gas while traveling up a 9.0 slope.
How far will it coast before it starts to roll back down?
How do you find the rate at witch gravity pulls the car down the slope? I don't understand how to find that
 
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Hi grizzly44! Welcome to PF! :smile:

The car will have a constant acceleration …

find that acceleration by using good ol' Newton's second law in the direction of the slope. :wink:
 
Ok so i know how to do that one one dimensional kinematics but how do i apply that to a slope?
 
A slope is one-dimensional. :wink:

The only difficulty is finding the F in F = ma …

it will be the total of the component along the slope of the gravity and the friction force.
 

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