How Far Will a Race Car Travel After Running Out of Gas?

AI Thread Summary
A race car weighing 10,000 kg traveling at 10.0 m/s will continue to move after running out of gas until it comes to a stop, but the distance it travels depends on the frictional force acting against it. The discussion highlights the need for the coefficient of friction to determine the retarding acceleration, which is essential for calculating the stopping distance. Without this information, the problem becomes significantly more complex. Participants emphasize the importance of breaking down the problem into manageable steps rather than attempting to solve it all at once. Ultimately, the lack of sufficient data is a major obstacle in finding a solution.
irNewton
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Homework Statement


A race car with the weight of 10 000 kg is traveling at 10.0 m/s when it's gas runs out. How far will this race car travel till it reaches an absolute halt?


Homework Equations



F=ma
v2^2-v1^2=2ad

The Attempt at a Solution



Fn= 490 000N
v2^2-v1^2/2d= a

and I tried to sub that for a in F=ma, but got no where =/
 
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You are not providing the enough information.
1) What is the frictional force?
- How you get frictional force provided that normal force is given?
2) So what is retarding acceleration?

Find that acceleration before doing anything. Don't try to solve it all in one single step.
 
Hi, well we aren't given the coefficient of friction which makes this question ten times harder -.-
Or I could have easily figured this out myself...
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
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