Rubber on dry concrete 1.0 0.7 Rubber on wet concrete 0.7 0.5

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Consider a car heading down a 6.5° slope (one that makes an angle of 6.5° with the horizontal) under the following road conditions. You may assume that the weight of the car is evenly distributed on all four tires and that the coefficient of static friction is involved—that is, the tires are not allowed to slip during the acceleration. Use a coordinate system in which down the slope is positive acceleration.

1.) calculate the max acceleration for the car on dry concrete in m/s^2?

2.) calculate the max acceleration on wet concrete?

3.) calculate max acceleration for the car on ice, assuming that Us is 0.100, the same as it is for shoe on ice. 

System
Static friction
Kinetic friction
Rubber on dry concrete
1.0
0.7
Rubber on wet concrete
0.7
0,5
Steel on steel(dry)
0.6
0.3
Steel on steel (oiled)
0.05
0,03
Shoes on wood
0.9
0.7
Shoes on ice
0.1
0.05
Steel on ice
0.4
0.02
Transcribed Image Text:System Static friction Kinetic friction Rubber on dry concrete 1.0 0.7 Rubber on wet concrete 0.7 0,5 Steel on steel(dry) 0.6 0.3 Steel on steel (oiled) 0.05 0,03 Shoes on wood 0.9 0.7 Shoes on ice 0.1 0.05 Steel on ice 0.4 0.02
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