The discussion focuses on calculating the coefficient of friction for a car skidding down an 8% grade hill over a distance of 30 meters while traveling at 25 MPH. The coefficient of friction, denoted as mu, typically ranges between 0.6 and 0.8 for most vehicles. To determine the coefficient, one must apply Newton's 2nd law, analyze the forces acting on the car, and utilize kinematic equations or work-energy principles. Additionally, the 8% gradient can be converted to degrees, where the tangent of the angle corresponds to the slope.
PREREQUISITESAutomotive engineers, physics students, and anyone interested in vehicle dynamics and safety calculations will benefit from this discussion.
Assemble the usual suspects: Draw a diagram showing all the forces acting on the car. Apply Newton's 2nd law to relate the net force to the acceleration. Use kinematics or work/energy to compute the acceleration. (Pick a specific speed: convert 25 mph to m/s.)Narayanswamy said:If a driver traveling down an 8% grade hill slams down the brakes of his car and skids 30 meters, what is the coefficient of friction ( assuming he was traveling at 25 MPH or more)?
Appreciate your help asap.