A 1,200-kg car is traveling on an icy horizontal road at 30 m/s. The maximum rate...
A 1,200-kg car is traveling on an icy horizontal road at 30 m/s. The maximum rate at which the car can decelerate without sliding on the ice is 1.2 m/s2; reaching this value will immediately result in sliding uncontrollably with a reduced sliding friction of 700 N.
If the driver panics and slams hard on the brakes, then how far will the car slide before stopping? Answer in km.
Homework Answers
friction = 700 N
deceleration = F/m = 700 / 1200 = 0.5833 m/s^2
using the equation of linear motion we have
v^2 - u^2 = 2aS
0 - 30^2 = 2*-0.5833*S
S = 771.4 m
so the car slides 771.4 m
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