Non Skid Friction



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Non Skid Friction
Physics Question???

In a brake test on dry asphalt, a Camaro traveling with an initial speed of 26.8 m/s can stop without skidding after moving 39.3 m. The mass of the Camaro and driver is 1580 kg.
a) Determine the magnitude of the average acceleration of the car and the magnitude of the average stopping friction force on the car during the non skidding braking. Note: If the car does not skid then the friction of the brake pads on the rotors is responsible for stopping.
b) Assume that the test is now done with skidding on dry asphalt. Note: If the car skids then the friction of the road on the tires is responsible for stopping. Determine the magnitude of the kinetic friction, the magnitude of the average acceleration and the stopping distance during the skid. (Coefficient of friction between rubber asphalt µk = 1.07).
c) Repeat (c) for the car skidding on ice ( for rubber and ice µk=0.005)

a) using the equations of motion
39.3=26.8*t-.5*a*t^2
and
0=26.8-a*t
solve for a
39.3=.5*26.8*t
t=2.93
a=9.138
F=m*a
F=1580*9.138
F=14438 N

b)
a FBD gives
f=friction=1580*9.81*1.07
f=16585 N
therefore a=f/m
a=16585/1580
a=10.5
using energy
16585*d=.5*1580*26.8^2
solve for d, the stopping distance
34.212 M

c) same equations
a FBD gives
f=friction=1580*9.81*0.005
f=77.5
therefore a=f/m
a=77.5/1580
a=0.049
using energy
77.5*d=.5*1580*26.8^2
solve for d, the stopping distance
7321 m

j

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