Velocity and Friction Question

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To determine the initial velocity of an object that stops over 18 meters due to friction, the coefficient of static friction is given as 0.35. The discussion emphasizes applying Newton's second law and the friction equation to derive expressions for force and acceleration. The concept of "stopping without skidding" raises questions, particularly regarding whether it implies a rotating object. By calculating the acceleration, one can ultimately find the initial velocity. Understanding these principles is crucial for solving the problem accurately.
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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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