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a 2000 KG CAR IS TRAVELING ON A BANKED CURVED ICY ROAD. THE ROAD IS BANKED AT AN ANGLE OF 12 DEGREES AND HAS A RADIUS OF CURVATURE OF 500 M. THE VELOCITY OF THE CAR NECESSARY TO TRAVEL ON THE ICY ROAD WITHOUT SLIDING IS???

PLEASE HELP, THANK YOU!

2007-03-09 03:35:14 · 2 answers · asked by Anonymous in Science & Mathematics Physics

2 answers

For this assume there is no friction, so the forces that matter are the forces parallel to the road surface

Which are:

Gravity downslope

m*g*sin(12)

Centripidal

cos(12)*m*v^2/r

without slippage these forces will balance

note that m divides out

g*sin(12)=cos(12)*v^2/r
v=sqrt(g*tan(12)*r)
=sqrt(9.81*tan(12)*500)
=32.3 m/s

j

2007-03-09 04:36:31 · answer #1 · answered by odu83 7 · 0 0

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2016-11-23 17:21:40 · answer #2 · answered by ? 4 · 0 0

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