Banked curve, car, friction problem

[groundknifer]

Hi, I've been working on this problem for a while and i keep on getting same answer! Can someone please tell me what I am doing wrong.

PROBLEM:
A circular curve is banked so that a car traveling with uniform speed rouding the curve usualy relys on friction to keep it from slipping to its left or right.
What is the maximum velocity the car can maintain in order that the car does not move up the plane. (Answer in KM/HR).

radius = 56.4m
mass_of_car = 2.3kg
angle = 34º
coefficient of kinetic friction = 0.41


MY WORK:
N=(cos34)(mg)=18.68
Fp=(sin34)(mg)=12.6
Fr=(N)(0.41)=7.66
Fc=centripital force=mv^2/r

so here's my final equation to get v:
(m)(v^2)/(r) - Fr = Fp
(2.3)(v^2)/56.4 - 7.66 = 12.6
v = 22.28m/s = 82.08 km/hr

82.08km/hr is soo unrealistic for 2.8kg car to bank such a turn.
heck, even my puny vw golf can't even do it at 82.08km/hr

i must be doing something wrong!

help please.
thanks

 

[groundknifer]

never mind i got it, if anyone needs to do this problem go to http://hyperphysics.phy-astr.gsu.edu/hbase/mechanics/carbank.html

 

[M98Ranger]

RESPONSE:
Hi there, it looks like you have set up your equations correctly and your calculations are correct. However, I believe the issue here is with the given values for the problem. The mass of the car is listed as 2.3kg, which is extremely light and unrealistic for a car. This may be why your final velocity seems too high. It is possible that the mass of the car was meant to be 2,300kg instead of 2.3kg. If you use this value, your final velocity should be around 22.28m/s, which is a more realistic speed for a car to maintain on a banked curve. I hope this helps!