To calculate the stopping distance of a car with an initial speed of 58 m/s and a kinetic friction coefficient of 0.72, you can use the formula for distance under kinetic friction. After substituting the given values into the formula, the car is determined to skid approximately 238 meters before stopping.
To determine how far the car will skid before coming to a halt, we need to use the concepts of kinematic motion and friction. The formula to find the stopping distance d when friction is involved is d = v2 / (2µg), where v is the initial velocity, µ is the coefficient of kinetic friction, and g is the acceleration due to gravity (9.8 m/s2). Substituting the given values, we have d = (58 m/s)2 / (2 × 0.72 × 9.8 m/s2), which calculates the distance the car skids before stopping.
Doing the math:
d = 3364 / 14.112
d = 238.4628 meters
The car will skid approximately 238 meters before coming to a complete stop.