Answer :
The minimum coefficient of static friction between the road and tires of the vehicle must be at least 0.810 for the car to go up a hill with a slope of 39.1 degrees.
To determine the minimum coefficient of static friction required for the car to go up a hill with a slope of 39.1 degrees, we can use the following formula:
μ ≥ tan(θ)
where μ is the coefficient of static friction and θ is the angle of the slope.
Substituting the given values:
μ ≥ tan(39.1 degrees)
Using a calculator, we find:
μ ≥ 0.810
Therefore, the minimum coefficient of static friction required between the road and tires of the vehicle must be at least 0.810.
The complete question should be:
A car company claims that one of its vehicles could go up a hill with a slope of 39.1 degrees. What must be the minimum coefficient of static friction between the road and tires of the vehicle?
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