Kinetic friction and distance problem.

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SUMMARY

The discussion revolves around calculating the initial velocity of a car that travels 10 meters before stopping due to kinetic friction with a coefficient of 0.5. The relevant equations include the kinematic equation Vi² = Vf² + 2ax and the kinetic energy formula KE = 1/2mv². The user encountered difficulties due to the unknown mass of the car but was advised to use the relationship between force, mass, and acceleration (F=MA) to eliminate mass from the equations.

PREREQUISITES
  • Kinematic equations for motion analysis
  • Understanding of kinetic friction and its coefficient
  • Basic principles of Newton's second law (F=MA)
  • Concept of energy conservation in mechanics
NEXT STEPS
  • Study the derivation of the kinematic equation Vi² = Vf² + 2ax
  • Learn how to apply Newton's second law in frictional scenarios
  • Explore the relationship between kinetic energy and work done by friction
  • Practice problems involving motion with friction to solidify understanding
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Students studying physics, particularly those focusing on mechanics and motion, as well as educators seeking to explain concepts of friction and kinematics.

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Homework Statement


A car is traveling at a given velocity on a road with a coefficient of friction of 0.5 when it suddenly has to apply the brakes. Given that it travels 10 meters before coming to a stop what is the initial velocity of the car?


Homework Equations


Vi^2=Vf^2 + 2ax KE=1/2mv^2


3. The Attempt at a Solution [/b
I had some trouble with this since the mass isn't given, i supposed i had to figure out a way to relate two equations so that the mass could cancel but i had a hard time doing so. Can anybody help?
 
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Assume a mass of m, and then use F=MA. Consider the normal force and coefficient of friction.
 
Please post your working as far as you got.
 

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