Final answer:
To find the minimum stopping distance on a wet road for a truck traveling at 53.0 mi/h, convert the speed to m/s, use the coefficient of static friction to calculate deceleration, and then apply the kinematic equation. The minimum stopping distance is approximately 276.3 meters.
Step-by-step explanation:
To calculate the minimum stopping distance on a wet road for a woman driving her truck at 53.0 mi/h, we first need to convert the speed to meters per second (m/s). Since 1 mile is approximately 1.60934 kilometers and 1 hour is 3600 seconds, we can convert the speed as follows:
53.0 mi/h × (1.60934 km/mi) × (1000 m/km) ÷ (3600 s/h) ≈ 23.7 m/s.
Now, using the coefficient of static friction (μ) and the acceleration due to gravity (g ≈ 9.8 m/s²), the maximum deceleration (a) on wet concrete can be calculated through the equation a = μ × g, giving us:
a = 0.104 × 9.8 m/s² ≈ 1.0192 m/s².
Applying the kinematic equation for stopping distance (d), which is d = v²/(2a), where v is the initial velocity and a is the deceleration:
d = (23.7 m/s)² / (2 × 1.0192 m/s²) ≈ 276.3 m.
Therefore, the minimum stopping distance on a wet road for the truck traveling at 53.0 mi/h is approximately 276.3 meters.