Banked curve, car, friction problem

  • Thread starter groundknifer
  • Start date
  • #1
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 im 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 heres 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 cant even do it at 82.08km/hr

i must be doing something wrong!

help please.
thanks
 

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