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

AI Thread Summary
To calculate the coefficient of sliding friction (µ) for a car weighing 2410 kg skidding on an icy road, the normal force is determined to be 23618 N. The initial speed of the car is 11 m/s, and it comes to a stop over a distance of 29 m. Using kinematic equations, the deceleration can be calculated, which is essential for finding the force of friction. The frictional force can then be derived from the mass and the calculated deceleration. This process ultimately leads to the determination of the coefficient of sliding friction between the tires and the icy surface.
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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?
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
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