Calculate the skid to stop distance of a car traveling on a road at 100 kilometers per hour with a coefficient of friction of 0.68.....
Ke = (1/2) m v^2
work done = F d
where
F = .68 m g
so
.68 g d = (1/2) v^2
56.7 m
To calculate the skid to stop distance of a car, we need to use the formula:
Skid to stop distance = (initial velocity^2) / (2 * coefficient of friction * acceleration due to gravity)
Here's how to find the solution step-by-step:
Step 1: Convert the initial velocity from kilometers per hour (km/h) to meters per second (m/s).
To convert km/h to m/s, divide the value by 3.6 since there are 3.6 seconds in an hour.
Initial velocity = 100 km/h
Initial velocity = 100 / 3.6 m/s
Initial velocity = 27.78 m/s (rounded to two decimal places)
Step 2: Determine the acceleration due to gravity.
The acceleration due to gravity is approximately 9.8 m/s^2.
Acceleration due to gravity = 9.8 m/s^2
Step 3: Substitute the values into the formula and calculate the skid to stop distance.
Skid to stop distance = (27.78^2) / (2 * 0.68 * 9.8)
Skid to stop distance = 769.61 / 13.36 (rounded to two decimal places)
Skid to stop distance ≈ 57.68 meters
Therefore, the skid to stop distance for a car traveling at 100 km/h with a coefficient of friction of 0.68 is approximately 57.68 meters.