a car moving at a constant speed and making a turn on a horizontal,flat road tha

Question

a car moving at a constant speed and making a turn on a horizontal,flat road that is curved so that its radius is constant A.) has acentripetal acceleration caused by friction B.) does not needfriction because it is just like a banked curve C.) can go fasterif the radius is made smaller D.) can go faster if the car is moremassive.
find the magnitude of the acceleration if the radius of the curveis 100 meters, the mass of the car is 1000kg and the speed of thecar is 30 m/s. About how many "g's" is this?

Explanation / Answer

A) has a centripetal acceleration caused by friction . ----------------------------------------------------------------------------- The magnitude of the acceleration of the car is                    a = v2/(rg)                      = (30 m/s)2/((100m)(9.80 m/s2))                      = 0.918 m/s2    The acceleration of the car is                  a =[ 0.918 m/s2](g/(9.80 m/s2))                    = 0.09371 g

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