Finding the initial velocity of an object

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To find the initial velocity of an object that stops over 12.3 meters due to friction, the coefficient of static friction is given as 0.86. The work-energy theorem is suggested as a method for solving the problem, where the work done equals the change in mechanical energy. The formula for initial velocity is noted as initial velocity = mu * m * t. The discussion emphasizes the importance of applying the correct physics principles to arrive at the solution. Understanding these concepts is crucial for accurately determining the initial velocity.
adorrea
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Homework Statement



An object takes 12.3 meters to stop because of friction. Assume no skidding. If the coefficient of static friction is 0.86, what is the initial velocity of the object?

Homework Equations



initial velocity= mu*m*t

The Attempt at a Solution

 
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welcome to pf!

hi adorrea! welcome to pf! :smile:

(have a mu: µ :wink:)

use the work energy theorem …

work done = change in (mechanical) energy :smile:​
 
Thread 'Correct statement about size of wire to produce larger extension'

Thread 'Correct statement about size of wire to produce larger extension'

The answer is (B) but I don't really understand why. Based on formula of Young Modulus: $$x=\frac{FL}{AE}$$ The second wire made of the same material so it means they have same Young Modulus. Larger extension means larger value of ##x## so to get larger value of ##x## we can increase ##F## and ##L## and decrease ##A## I am not sure whether there is change in ##F## for first and second wire so I will just assume ##F## does not change. It leaves (B) and (C) as possible options so why is (C)...
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