Uniform Circular Motion with friction

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To determine the maximum safe speed of a car driving around a curve with a radius of 125m and a frictional coefficient of 0.58, the centripetal force must be equated to the frictional force. The correct approach involves recognizing that the frictional force provides the necessary centripetal force to keep the car in circular motion. The gravitational force acts downward and does not contribute to the centripetal acceleration. Simplifying the equations leads to the conclusion that the mass cancels out, allowing for a straightforward calculation of speed. Properly setting up the equations is crucial for finding the maximum safe speed without overcomplicating the problem.
serrino
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A car drives around a horizontal curve with a frictional coefficient of 0.58. What is the maximum safe speed for the carif the radius of the turn is 125m?

r= 125m
uk= 0.58
v=?

ok I set up the problem as
Fc=Ff-Fg

m (v2/r)=ukFn-(m)(g)

so the masses would cancel, but I'm stuck and nopt sure if I set it up right.

If you anyone could give me a little help it would be appreciated.
 
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You are making the equation too complex. Think about what force(s) are keeping the car in the circle and write another equation.
 
serrino said:
ok I set up the problem as
Fc=Ff-Fg
The force of gravity acts downward, not centripetally.
 

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