How Do You Calculate Stopping Distance and Time with Kinetic Friction?

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SUMMARY

The discussion focuses on calculating stopping distance and time for a car moving at 20 m/s with a coefficient of kinetic friction of 0.1. The correct answers for both the stopping distance and time are confirmed to be 200 m and 20 s, respectively. The solution involves applying the work-energy principle, where the work done by friction equals the change in kinetic energy. The participants emphasize the importance of understanding energy conservation in solving these types of physics problems.

PREREQUISITES
  • Understanding of kinetic energy and its formula (KE = 0.5mv²)
  • Knowledge of the work-energy principle
  • Familiarity with the concept of friction and its coefficient
  • Basic algebra for solving equations
NEXT STEPS
  • Study the work-energy principle in detail
  • Learn how to calculate work done by friction
  • Explore the relationship between friction and stopping distance
  • Practice problems involving kinetic energy and friction coefficients
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Physics students, educators, and anyone interested in understanding the dynamics of motion and friction in automotive contexts.

cbrons
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Homework Statement



1. A car moving at 20 m/s brakes and slides to a stop. If the coefficient of kinetic friction between the pavement and the tires of the car is 0.1, how far does the car slide?

A. 50 m
B. 100 m
C. 200 m
D. 400 m

2. A car moving at 20 m/s brakes and slides to a stop. If the coefficient of kinetic friction between the pavement and the tires of the car is 0.1, how much time is needed for the car to come to a complete stop?

A. 1 s
B. 10 s
C. 20 s
D. 40 s


Homework Equations



U(k)mgcos0

The Attempt at a Solution



Well the answers for both are C, as the back of the book states. The problem is, I don't understand how you can figure out either the time or distance with the information given... can anyone shed some light?
 
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Use energy conservation for the first one, the work done by friction is the change in kinetic energy.
 

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