Velocity and Friction Question

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SUMMARY

The discussion focuses on calculating the initial velocity of an object that comes to a stop over a distance of 18 meters due to friction, with a coefficient of static friction of 0.35. Participants emphasize the application of Newton's Second Law and the relationship between frictional force and normal force to derive the necessary equations. The key takeaway is that by determining the acceleration through these equations, one can compute the initial velocity of the object before it began to decelerate.

PREREQUISITES
  • Understanding of Newton's Second Law
  • Knowledge of frictional force equations
  • Familiarity with kinematic equations
  • Basic algebra for solving equations
NEXT STEPS
  • Study the derivation of frictional force equations in physics
  • Learn how to apply kinematic equations to solve for initial velocity
  • Explore examples of motion with friction in physics textbooks
  • Investigate the implications of static vs. kinetic friction in real-world scenarios
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This discussion is beneficial for physics students, educators, and anyone interested in understanding the principles of motion and friction in mechanics.

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Homework Statement


An object takes 18m to stop due to friction. Assume no skidding. If the coefficient of static friction is 0.35, what is the initial velocity of the object?


The Attempt at a Solution


I have looked at the Normal vs Frictional force equation and I have looked at the three equations involving initial, final velocity and acceleration. I've gone through my notes and skimmed through couple of other book but now help.
 
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You can apply Newton's second Law to find an expression for Force, and apply your friction equation to find another expression for Force.

There will be unknown variables, but you will be able to find a numerical expression for acceleration, and hence a numerical answer for initial velocity.

However, I am not quite sure what is meant by 'stopping without skidding' unless it is a rotating object.
 

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