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PhyIsOhSoHard
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Homework Statement
A car drives on a straight path and from point A it enters a curved path. It stops at rest on point B of the curved path.
The curved path has the radius R and the length is given by the angle theta.
The entire path has friction. The velocity of the car is known at point A as [itex]v_A[/itex]
Calculate the friction force's work on the curved path from point A to B.
Homework Equations
Work on a straight line:
[itex]W=F \cdot s \cdot \cos(\phi)[/itex]
Work on a curved path:
[itex]W=\int_{P_1}^{P_2}F \cdot cos(\phi) dl[/itex]
Work done by friction on a straight path:
[itex]W_{fric}=f_k \cdot s \cdot cos(\phi)[/itex]
The Attempt at a Solution
I drew a Free body diagram of the car in the curved path (is it correct?)
The force F is what's dragging it and then there is a friction force f that has a direction depending on where on the curved path that the car is which is the angle theta.
But my problem is that I don't know the force F. I'm not sure what to do next.
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