Solve 1D Dynamics Problem: Can Car Stop Before Intersection?

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SUMMARY

The discussion centers on a 1D dynamics problem involving a car with a mass of 1100 kg traveling at a velocity of 60 km/hr, facing a situation where the brakes fail 35 meters before an intersection. The coefficient of friction between the tires and the road is 0.45, which plays a crucial role in determining the car's deceleration. By applying the equation for frictional force (F_friction = μ * m * g), the acceleration can be calculated, allowing for the determination of whether the car can stop before reaching the intersection.

PREREQUISITES
  • Understanding of Newton's second law (F = ma)
  • Knowledge of kinematic equations for motion analysis
  • Familiarity with the concept of friction and its coefficient
  • Basic algebra for solving equations
NEXT STEPS
  • Calculate the frictional force using F_friction = μ * m * g
  • Determine the acceleration of the car using a = F/m
  • Apply the kinematic equation vf^2 = vi^2 + 2ad to find stopping distance
  • Analyze the results to conclude if the car stops before the intersection
USEFUL FOR

Students studying physics, particularly those focusing on dynamics and kinematics, as well as educators looking for practical examples of motion analysis in real-world scenarios.

hydra03
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1D Dynamics Problem!

Homework Statement


A car of mass 1100kg is traveling at a constant velocity of 60 km/hr, east. The coefficient of friction between the tires and the road is 0.45.
The driver of the car sees the traffic light in front turning red and steps on the brake, only to find that the brakes are not working. If the car is 35m before the intersection when this happens, would it be able to come to a stop before entering the intersection?


Homework Equations


F = ma
d = vt + 1/2at^2
vf^2 = vi^2 + 2ad
vf = vi + at

The Attempt at a Solution



I've fiddled around with the bottom three kinematic equations, but I don't seem to be getting anywhere..
 
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hydra03 said:

Homework Statement


A car of mass 1100kg is traveling at a constant velocity of 60 km/hr, east. The coefficient of friction between the tires and the road is 0.45.
The driver of the car sees the traffic light in front turning red and steps on the brake, only to find that the brakes are not working. If the car is 35m before the intersection when this happens, would it be able to come to a stop before entering the intersection?


Homework Equations


F = ma
d = vt + 1/2at^2
vf^2 = vi^2 + 2ad
vf = vi + at

The Attempt at a Solution



I've fiddled around with the bottom three kinematic equations, but I don't seem to be getting anywhere..

It looks like you are supposed to assume the car is slowing down because of the 0.45 kinetic friction value. Start by trying to compute the acceleration a. To do that try to find the frictional force on the car first.
 

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