Finding the initial velocity of an object

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SUMMARY

The discussion focuses on calculating the initial velocity of an object that stops over a distance of 12.3 meters due to friction, with a static friction coefficient of 0.86. The formula provided for initial velocity is derived from the work-energy theorem, specifically using the relationship between work done and change in mechanical energy. The equation presented is initial velocity = μ * m * t, where μ represents the coefficient of friction, m is mass, and t is time. The conversation emphasizes the application of physics principles to solve real-world problems.

PREREQUISITES
  • Understanding of the work-energy theorem
  • Familiarity with static friction and its coefficient
  • Basic knowledge of kinematics
  • Ability to manipulate algebraic equations
NEXT STEPS
  • Study the work-energy theorem in detail
  • Learn about the implications of static friction in motion
  • Explore kinematic equations for uniformly accelerated motion
  • Investigate real-world applications of friction in physics
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Students studying physics, particularly those focusing on mechanics and motion, as well as educators looking for practical examples of applying theoretical concepts.

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:
 

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