Calculate Coefficient of Sliding Friction for Icy Road | 11m/s Car Braking

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SUMMARY

The discussion focuses on calculating the coefficient of sliding friction (µ) for a 2410 kg car skidding on an icy road while braking from an initial speed of 11.0 m/s to a stop over a distance of 29.0 m. The normal force (N) is calculated as 23618 N using the formula N = mg, where g is the acceleration due to gravity (9.8 m/s²). To find the force of friction, participants suggest utilizing kinematic equations to determine the deceleration, which can then be used to derive the frictional force necessary for stopping the vehicle.

PREREQUISITES
  • Understanding of Newton's second law of motion
  • Familiarity with kinematic equations
  • Knowledge of frictional forces and their coefficients
  • Basic algebra for solving equations
NEXT STEPS
  • Study kinematic equations to calculate acceleration from initial and final velocities
  • Learn how to derive the force of friction using the formula F_friction = µN
  • Explore the concept of normal force in different scenarios
  • Investigate real-world applications of friction coefficients in vehicle safety
USEFUL FOR

Students studying physics, automotive engineers, and anyone interested in understanding vehicle dynamics and safety on slippery surfaces.

halo9909
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Homework Statement



You are driving a 2410.0-kg car at a constant speed of 11.0 m/s along an icy, but straight and level road. While approaching a traffic light, it turns red. You slam on the brakes, Your wheels lock, the tires begin skidding, and the car slides to a halt in a distance of 29.0 m. What is the coefficient of sliding friction (µ) between your tires and the icy roadbed?

m=2410kg
vi=11m/s
vf=0m/s
d=29meter

Homework Equations



µ=F/N?

The Attempt at a Solution


i first did 2410kg * 9.8 =23618N so that would be the force normal, from there I dnt know how to get the force of friction
 
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Hi halo9909,

halo9909 said:

Homework Statement



You are driving a 2410.0-kg car at a constant speed of 11.0 m/s along an icy, but straight and level road. While approaching a traffic light, it turns red. You slam on the brakes, Your wheels lock, the tires begin skidding, and the car slides to a halt in a distance of 29.0 m. What is the coefficient of sliding friction (µ) between your tires and the icy roadbed?

m=2410kg
vi=11m/s
vf=0m/s
d=29meter

Homework Equations



µ=F/N?

The Attempt at a Solution


i first did 2410kg * 9.8 =23618N so that would be the force normal, from there I dnt know how to get the force of friction

They give you the initial and final velocity, and the displacement. What kinematic quantity can you find using those values that would be helpful in finding a force?
 

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