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

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A car traveling at 25 m/s runs out of gas while ascending a 9.0 slope, prompting questions about how far it will coast before rolling back down. To determine the distance, one must calculate the acceleration due to gravity acting along the slope using Newton's second law. The acceleration can be found by analyzing the forces acting on the car, specifically the gravitational component along the slope and any frictional forces. Understanding how to apply one-dimensional kinematics to the slope scenario is crucial for solving the problem. The discussion emphasizes the importance of correctly identifying the forces involved to find the car's coasting distance.
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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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