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'm doing wrong.(adsbygoogle = window.adsbygoogle || []).push({});

Problem:

A circular curve is banked so that a car travelling with uniform speed rounding the curve usually relies on friction to keep it from slipping to this 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 = 34 degree

Coefficient of kinetic friction = 0.41

My work:

N = mgcos(34) = 18.68

Fp = mgsin(34) = 12.6

Fr = (0.41)N = 7.66

Fc = centripetal force = mv^2/r

so here's my final equation to get v:

mv^2/r-Fr = Fp

(2.3)(v^2)/(56.4)-(7.66) = 12.6

v = 22.28m/s = 82.08km/hr

82.08km/hr is so 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 me please.

Thanks

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# Car Friction problem

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