- #1

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